If xy + yz + zx = 1,   then the value of  is

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.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

191.

If left parenthesis straight a minus 2 right parenthesis space plus space fraction numerator 1 over denominator left parenthesis straight a space plus space 2 right parenthesis end fraction space equals space minus 1, then the value of left parenthesis straight a plus 2 right parenthesis squared space plus space fraction numerator 1 over denominator left parenthesis straight a plus 2 right parenthesis squared end fraction is

  • 7

  • 11

  • 23

  • 27

40 Views

192.

If straight a space plus space 1 over straight b space equals space 1 and  straight b space plus space 1 over straight c space equals space 1,  then the value of straight c space plus space 1 over straight a is

  • 0

  • 1

  • -1

  • 2

42 Views

193.

If x = at2 and y = 2at then

  • x2 = 4ay

  • y2 = 4ax

  • x2 + y2 = a2

  • x2 - y2 = a2

46 Views

Advertisement

194.

If xy + yz + zx = 1,   then the value of fraction numerator 1 plus straight y squared over denominator left parenthesis straight x plus straight y right parenthesis thin space left parenthesis straight y plus straight z right parenthesis end fraction is

  • 2

  • 3

  • 4

  • 1


D.

1

xy + yz + zx = 1 (given)
fraction numerator 1 plus straight y squared over denominator left parenthesis straight x plus straight y right parenthesis thin space left parenthesis straight y plus straight z right parenthesis end fraction
rightwards double arrow space space fraction numerator 1 plus straight y squared over denominator left parenthesis xy space plus space xz space plus space yz space plus straight y squared right parenthesis space end fraction
equals space fraction numerator 1 plus straight y squared over denominator 1 plus straight y squared end fraction space equals space 1

44 Views

Advertisement
Advertisement
195.

If 5 straight x space plus space 1 over straight x space equals space 10 comma then straight x squared space plus space fraction numerator 1 over denominator 25 straight x squared end fraction is equal to

  • 2 1 fifth

  • 3 1 fifth

  • 3 3 over 5

  • 2 3 over 5


196.

If a + b = 3 then the value of a3 + b3 + 9ab - 27 is

  • 24

  • 25

  • 0

  • 27


197.

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 7 space plus space 2 over straight x to the power of 6 is equal to

  • 0

  • 1

  • 2

  • 3


198.

If a = 11  and b = 9, then the value of open parentheses fraction numerator straight a squared plus straight b squared plus ab over denominator straight a cubed minus straight b cubed end fraction close parentheses is

  • 1 half

  • 2

  • 1 over 20

  • 20

38 Views

Advertisement
199.

If fraction numerator square root of 3 plus straight x end root space plus space square root of 3 minus straight x end root over denominator square root of 3 plus straight x end root space minus space square root of 3 minus straight x end root end fraction space equals space 2, then x is equal to

  • 5 over 12

  • 12 over 5

  • 5 over 7

  • 7 over 5

30 Views

200.

If a and b be positive integers such that a2 - b2 = 19, then the value of a is

  • 19

  • 20

  • 9

  • 10

100 Views

Advertisement