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.

If $straight x space plus space 1 over straight x space equals space square root of 13 comma space space then space fraction numerator 3 straight x over denominator left parenthesis straight x squared minus 1 right parenthesis end fraction$ equals to

$3 square root of 13$
$fraction numerator square root of 13 over denominator 3 end fraction$
1
3

63 Views

172.

If $straight x space plus space 1 over straight x space equals space 2 comma$ then the value of $straight x to the power of 99 space plus space 1 over straight x to the power of 99 minus 2$ is:

-2
0
2
4

38 Views

173.

If $2 straight x space minus space fraction numerator 1 over denominator 2 straight x end fraction space equals space 5 comma$ $straight x not equal to 0$ then the value of $straight x squared space plus space fraction numerator 1 over denominator 16 straight x squared end fraction minus 2$ is

$19 over 4$
$23 over 4$
$27 over 4$
$31 over 4$

36 Views

174.

If $straight a space plus space 1 over straight b space equals space 1 comma space space space straight b space plus space 1 over straight c space equals space 1$ , then the value of abc is:

0
-1
1
ab

42 Views

175.

If $2 straight x space plus space fraction numerator 1 over denominator 4 straight x end fraction space equals space 1 comma$ then $straight x squared space plus space fraction numerator 1 over denominator 64 straight x squared end fraction$ is

0
1
$1 fourth$
2

41 Views

176.
If $square root of straight x space minus space square root of straight y space equals space 1 comma$ $square root of straight x space plus space square root of straight y space equals space 17 comma$ then $square root of xy space equals space ?$

$square root of 72$

72

32

24

$square root of straight x space minus space square root of straight y space equals space 1 space left parenthesis given right parenthesis$
S.B.S.
$open parentheses square root of straight x space minus space square root of straight y close parentheses squared space equals space 1 space space space space space space space space space space space space space space space space space space space space space$
$straight x space plus space straight y space minus space 2 square root of xy space equals space 1 space space space space space space space space space space space space space space space space... left parenthesis straight i right parenthesis$
$square root of straight x space plus space square root of straight y space equals space 17$
$straight x space plus space straight y space plus space 2 square root of xy space equals space 289 space space space space space space space space space space space space space space space... left parenthesis ii right parenthesis$
From equations (i) and (ii),
$4 square root of xy space equals space 288 space space space square root of xy space equals space 72$

35 Views

177.

If $straight x space equals space square root of 3 space plus space fraction numerator 1 over denominator square root of 3 end fraction comma$ then the value of $open parentheses straight x space minus space fraction numerator square root of 126 over denominator square root of 42 end fraction close parentheses space open parentheses straight x minus fraction numerator 1 over denominator straight x minus begin display style fraction numerator 2 square root of 3 over denominator 3 end fraction end style end fraction close parentheses space is colon$

$fraction numerator 5 square root of 3 over denominator 6 end fraction$
$fraction numerator 2 square root of 3 over denominator 3 end fraction$
$5 over 6$
$2 over 3$

42 Views

178.

If $straight c space plus space 1 over straight c space equals space 3 comma$ then the value of $left parenthesis straight c minus 3 right parenthesis to the power of 7 space plus space 1 over straight c to the power of 7$ is

43 Views

179.

If $straight a space equals space square root of 2 space plus space 1$ and $straight b space equals space square root of 2 minus 1 comma space$ then the value of $fraction numerator 1 over denominator straight a plus 1 end fraction space plus space fraction numerator 1 over denominator straight b plus 1 end fraction$ will be