Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

181.
If $fraction numerator 3 over denominator left parenthesis straight x plus 2 right parenthesis thin space left parenthesis 2 straight x plus 1 right parenthesis end fraction space space equals space fraction numerator straight a over denominator 2 straight x plus 1 end fraction space plus space fraction numerator straight b over denominator straight x plus 2 end fraction$ be an identity, then the value of b is

0

-1

2

3

-1

$fraction numerator 3 over denominator left parenthesis straight x plus 2 right parenthesis space left parenthesis 2 straight x plus 1 right parenthesis end fraction space equals space fraction numerator straight a over denominator 2 straight x plus 1 end fraction space plus space fraction numerator straight b over denominator straight x plus 2 end fraction$
Put the value of x = 1
$rightwards double arrow space space fraction numerator 3 over denominator left parenthesis 1 plus 2 right parenthesis thin space left parenthesis 2 plus 1 right parenthesis end fraction space equals space fraction numerator begin display style straight a end style over denominator 2 plus 1 end fraction space plus space fraction numerator straight b over denominator 1 plus 2 end fraction rightwards double arrow space space space space fraction numerator 3 over denominator 3. space 3 end fraction space equals space straight a over 3 space plus space straight b over 3 rightwards double arrow space space space space 1 third space equals space fraction numerator straight a plus straight b over denominator 3 end fraction rightwards double arrow space space space space straight a space plus space straight b space equals space 1$
Go with option If we put a = 2 , b =-1
then,
a + b = 1
2 + (-1) = 1
1 = 1

42 Views

182.

If a + b = 5 and a - b = 3, then the value of (a² + b²) is

54 Views

183.

If $straight x space equals space straight a space plus space 1 over straight a$ and $straight y space equals space straight a space minus space 1 over straight a comma$ the value of x⁴ + y⁴ - 2x²y² is

41 Views

184.

If x² + 5x + 6 = 0, then the value of $fraction numerator 2 straight x over denominator straight x squared minus 7 straight x plus 6 end fraction$ is:

$1 over 6$
$1 third$
$negative 1 over 6$
$negative 1 third$

55 Views

185.

If $straight a over straight b space plus space straight b over straight a space equals space 1 comma$ then the value of a³ + b³ will be

1
0
-1
2

73 Views

186.

If p = 99, then the value of p(p² + 3p + 3) will be

999999
1000000
1000001
999998

244 Views

187.

If a - b = 1 and a³ - b³ = 61, the the value of ab will be

57 Views

188.

If $fraction numerator straight x over denominator straight x plus straight b end fraction space plus space 1 space equals space fraction numerator straight x over denominator straight a minus straight b end fraction space plus space fraction numerator straight a minus straight b over denominator straight a plus straight b end fraction comma$ then x is equal to

2a - b
a + b
a - b
2a + b

45 Views

189.

If x² - 4x + 1 = 0, the value of $fraction numerator straight x to the power of 6 plus 1 over denominator straight x cubed end fraction space is$ :

45 Views

190.

If a² = b + c, b² = c + a, c² = a + b, then the value of:
$3 open parentheses fraction numerator 1 over denominator straight a plus 1 end fraction space plus space fraction numerator 1 over denominator straight b plus 1 end fraction space plus space fraction numerator 1 over denominator straight c plus 1 end fraction close parentheses$