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CBSE Solutions for Class 11 English

GSEB std 10 science solution for Gujarati check Subject Chapters Wise::

If y² = -16 then the value of y are ____________

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જવાબ : No solution


If y² = 4 then the value of y are ____________

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જવાબ : {-2, 2}


If y² = 16 then the value of y is ____________

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જવાબ : {-4, 4}


If y² = -9 then the value of y is ____________

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જવાબ : No solution


If (x + 3)/(x – 2) > 1/2 then x lies in the interval ____________

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જવાબ : (-8, ∞)


Solve: (x + 1)² + (x² + 3x + 2)² = 0

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જવાબ : x = -1


If x² = -4 then the value of x has ____________

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જવાબ : No solution


Sum of two rational numbers is ______ number.

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જવાબ : rational


Solve: 1 ≤ |y – 1| ≤ 3

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જવાબ : [-2, 0] ∪ [2, 4]


The complete set of values of l, for which the quadratic equation x2−lx+l+2=0 has equal roots, consists of ____________

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જવાબ : 2 ± √12


For the equation |x|2+|x|−6=0, the sum of the real roots is ____________

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જવાબ : 0


If pq is the roots of the equation x 2+ xs+1=0, then p2+q2= ____________

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જવાબ : 1


If a, b are roots of the equation 4x2+3x+7=0, then 1/a + 1/b is equal to ____________

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જવાબ : −3/7


The values of y satisfying log3 (y2+4y+12) =2 are ____________

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જવાબ : −1, −3


The number of real roots of the equation (y2+2y) 2−(y+1)2−55=0 is ____________

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જવાબ : 2


If α, β are the roots of the equation ax2+bx+c=0, then 1/ (AA+b) + 1/ (aβ+b) = ____________

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જવાબ : b/ac


If α, β are the roots of the equation x2+ax+1=0; γ, δ the roots of the equation x2+bx+1=0, then (α−γ) (α+δ) (β−γ) (β+δ) = ____________

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જવાબ : b2−a2


The number of real solutions of ∣2x−x2−3∣=1 is ____________

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જવાબ : 2


The number of solutions of y2+|y−1|=1 is ____________

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જવાબ : 2


If x is real and m= (x2−x+1)/(x2+x+1), then m ∈ ____________

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જવાબ : [1/3, 3]


If the roots of x2−bx+c=0 are two consecutive integers, then b2 − 4c is ____________

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જવાબ : 1


The value of k such that x2−11x+k=0 and x2−14x+2k=0 may have a common root is

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જવાબ : 12 & 24


The values of l for which the quadratic equation lx2+1=lx+3x−11x2 has real and equal roots are

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જવાબ : 5, −7


If the equations x2+2x+3k=0 and 2x2+3x+5k=0 have a non-zero common roots, then k =

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જવાબ : −1


If one root of the equation x2+ax+12=0 is 4, while the equation x2+ax+b=0 has equal roots, the value of b is

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જવાબ : 49/4


The value of a and b (a ≠ 0, b ≠ 0) for which ab are the roots of the equation x2+ax+b=0 are

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જવાબ : a = 1, b = −2


The set of all values of k for which both the roots of the equation x2− (k+1) x+k+4=0 are real and negative, is

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જવાબ : (−4, −3]


The number of roots of the equation (y+2) (y−5)/ (y−3) (y+6) = (y−2)/(y+4) is ____________

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જવાબ : 1


If α and β are the roots of 4x2+3x+7=0, then the value of 1/α+1/β is ____________

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જવાબ : −3/7


If α, β are the roots of the equation x2+ax+b=0 then −1/a+1/b are the roots of the equation ____________

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જવાબ : bx2−ax+1=0


If the difference of the roots of x2−ax+b=0 is unity, then a2−4b= ____________

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જવાબ : 1


If α, β are the roots of the equation x2−a(x+1) −c=0, then (α+1) (β+1) = ____________

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જવાબ : 1 – c


The least value of which makes the roots of the equation x2+5x+m=0 imaginary is ____________

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જવાબ : 7


The equation of the smallest degree with real coefficients having 1 + I as one of the roots is ____________

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જવાબ : y2−2y+2=0


The interval in which f(x) = (x – 1) × (x – 2) × (x – 3) is negative is ____________

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જવાબ : 2 < x < 3 and x < 1


If -2 < 2x – 1 < 2 then the value of x lies in the interval ____________

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જવાબ : (-1/2, 3/2)


The solution of the inequality |x – 1| < 2 is ____________

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જવાબ : (-1, 3)


If | x − 1| > 5, then x∈ ____________

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જવાબ : (−∞, −4)∪(6, ∞)


The solution of |2/(x – 4)| > 1 where x ≠ 4 is ____________

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જવાબ : (2, 4) ∪ (4, 6)


If (|y| – 1)/ (|y| – 2) ‎≥ 0, y ∈ R, y ‎± 2 then the interval of y is ____________

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જવાબ : (-∞, -2) ∪ [-1, 1] ∪ (2, ∞)


The solution of the -12 < (4 -3y)/ (-5) < 2 is ____________

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જવાબ : -56/3 < y < 14/3


If y² = -4 then the value of y are ____________

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જવાબ : No solution


Solve: |y – 3| < 5

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જવાબ : (-2, 8)


The graph of the in equations x ≥ 0, y ≥ 0, 3x + 4y ≤ 12 is ____________

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જવાબ : interior of a triangle including the points on the sides


If |y| < 5 then the value of y lies in the interval ____________

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જવાબ : (-5, 5)


Solve: f (p) = {(p – 1) × (2 – p)}/ (p – 3) ≥ 0

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જવાબ : (-∞, 1] ∪ (2, 3)


If x² = 4 then the value of x is ____________

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જવાબ : -2, 2


The solution of the 15 < 3(y – 2)/5 < 0 is

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જવાબ : 27 < y < 2


Solve: 3x + 2 ≥ −x + 18

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જવાબ : 3x+2≥−x+18

⇒3x+x≥18−2  

⇒4x≥16

⇒x≥4  

Hence, the solution set of the given in equation is [4, ∞)


Solve : 3x + 8 ≥ −x + 18

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જવાબ : 3x+8≥−x+18

⇒3x+x≥18−8   

⇒4x≥10

⇒x≥5/2   

Hence, the solution set of the given in equation is [5/2, ∞).


Solve: 12x < 50, when x 

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જવાબ : We have, 12x<50

x<50/12                 

 [Dividing both the sides by 12]

x<25/6 

X-ray Then, the solution of the given in equation is (−∞, 25/6).


Solve: 12x < 50, when x  Z

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જવાબ : We have, 12x<50

x<50/12                  [Dividing both the sides by 12]

x<25/6 

X Z Then, the solution of the given in equation is {..........−3, −2, −1, 0, 1, 2, 3, 4}.


Solve: 12x < 50, when
x  N

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જવાબ : We have, 12x<50

x<50/12                  [Dividing both the sides by 12]

x<25/6 

xN Then, the solution of the given inequation is  {1, 2, 3, 4}.


Solve: −4x > 30, when x  R

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જવાબ : −4x>30 x<−30/4  

x<−15/2

xR Then, the solution of the given inequation is (−∞, −152).


Solve: −4x > 30, when x  Z

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જવાબ : −4x>30

x<−30/4     

x<−15/2

xZ Then, the solution of the given inequation is {..........−9, −8}.


Solve: −4x > 30, when x  N

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જવાબ : −4x>30

x<−30/4 

x<−15/2  

 xN Then, the solution of the given inequation is ϕ.


Solve: 4x − 2 < 8, when x  R

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જવાબ : We have, 4x−2<8

4x<8+2 

4x<10

x<10/4

x<5/2

xR Then, the solution of the given inequation is (−∞, 52).


Solve: 4x − 2 < 8, when x  Z

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જવાબ : We have, 4x−2<8

4x<8+2 

4x<10

x<10/4

x<5/2

xZ Then, the solution of the given inequation is {.......−3, −2, −1, 0, 1, 2}.


Solve: 4x − 2 < 8, when x  N

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જવાબ : We have, 4x−2<8

4x<8+2 

4x<10

x<10/4

x<5/2

 xN Then, the solution of the given inequation is {1, 2}.


Solve :  x + 5 > 4x − 1

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જવાબ : We have, x+5>4x−1

5+1 > 4x−x

6>3x

3x<6

x<2

x(−∞, 2)

Hence, the solution set of the given inequation is (−∞, 2).


Solve :  x + 5 > 4x − 13

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જવાબ : We have, x+5>4x−13

5+13 > 4x−x           

18>3x

3x<18

x<6

x(−∞, 6)

Hence, the solution set of the given inequation is (−∞, 6).


Solve :  x + 3 > 4x − 12

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જવાબ : We have, x+3>4x−12

3+12 > 4x−x                 (Transposing x to the RHS and −10 to the LHS)

15>3x

3x<15

x<5

x(−∞, 5)

Hence, the solution set of the given inequation is (−∞, 5).


Solve :  x + 5 > 4x − 7

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જવાબ : We have, x+5>4x−75+7 > 4x−x                 (Transposing x to the RHS and −10 to the LHS)

12>3x

3x<12

x<4

x(−∞, 4)

Hence, the solution set of the given inequation is (−∞, 4).


Solve :  x − 7 > x+1

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જવાબ : 3x−7>x+1

3x−x>7+1

2x>8

x>4 

Hence, the  solution set of the given inequation is (4, ∞)


Solve :  3x − 7 > x+3

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જવાબ : 3x−7>x+3

3x−x>7+3

2x>10

x>5 

Hence, the  solution set of the given inequation is (5, ∞)


Solve :  3x − 7 > x-1

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જવાબ : 3x−7>x-1

3x−x>7-1

2x>6

x>3 

Hence, the  solution set of the given inequation is (3, ∞)


Solve :  3x − 7 > x=5

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જવાબ : 3x−7>x+5

3x−x>5+7

2x>12

x>6

Hence, the  solution set of the given inequation is (6, ∞)


Solve :  3x − 7 > x

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જવાબ : 3x−7>x

3x−x>7

2x>7

x>7/2 

Hence, the  solution set of the given inequation is (7/2, ∞)


There are No Content Availble For this Chapter

when x 

1

12x < 50

A

(25 , ∞)

2

12x > 50

B

(−∞,25)

3

2x < 50

C

(25/6 , ∞)

4

2x > 50

D

(−∞,25/6)

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જવાબ :

1-D, 2-C, 3-B, 4-A

when x 

1

−4x > 30

A

( −15/2 , ∞)

2

4x > 30

B

(15/2 , ∞)

3

−4x < 30

C

(−∞, −15/2)

4

4x < 30

D

(−∞, 15/2)

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જવાબ :

1-C, 2-D, 3-A, 4-B

when x  Z

1

12x < 50

A

{26, 27,}

2

12x > 50

B

{..........−3, −2, −1, 0, 1, 2, 3, 4}

3

2x < 50

C

{5, 6, 7,}

4

2x > 50

D

{..........−3, −2, −1, 0, 1, 2, 3…. 24}

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જવાબ :

1-B, 2-C, 3-D, 4-A

−5x > 31

1

x  R

A

{….., -8,-7}

2

x  Z

B

Φ

3

x  N

C

(−∞ , -7)

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જવાબ :

1-C, 2-A, 3-B

when x  Z

1

−4x > 30

A

{……, 6, 7}

2

4x > 30

B

{-7,-6,}

3

−4x < 30

C

{..........−9, −8}

4

4x < 30

D

{8, 9,}

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જવાબ :

1-C, 2-D, 3-B, 4-A

N

1

12x < 50

A

{26, 27,}

2

12x > 50

B

{1, 2, 3, ……., 24}

3

2x < 50

C

{5, 6,}

4

2x > 50

D

{1, 2, 3, 4}

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જવાબ :

1-D, 2-C, 3-B, 4-A

7x > -34

1

x  R

A

{-4, -3, -2…….}

2

x  Z

B

{1, 2, 3…..}

3

x  N

C

(-4, ∞)

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જવાબ :

1-C, 2-A, 3-B

-4x>0

1

x  R

A

Φ

2

x  Z

B

{…., -2,-1}

3

x  N

C

(-∞, -1)

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જવાબ :

1-C, 2-B, 3-A

x  N

1

−4x > 30

A

{8, 9,}

2

4x > 30

B

{1, 2, …….7 }

3

4x < 30

C

{1, 2}

4

14x < 30

D

Φ

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જવાબ :

1-D, 2-A, 3-B, 4-C

-8x > 6

1

x  R

A

Φ

2

x  Z

B

(-∞, -1)

3

x  N

C

{…., -2,-1}

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જવાબ :

1-B, 2-C, 3-A

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