If x2 = y + z,  y2 = z + x  and z2 = x + y, then the va

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

221.

If fraction numerator 4 straight x minus 3 over denominator straight y end fraction space plus space fraction numerator 4 straight y minus 3 over denominator straight y end fraction space plus space fraction numerator 4 straight z minus 3 over denominator straight z end fraction space equals space 0 comma then the value of 1 over straight x space plus space 1 over straight y space plus space 1 over straight z is

  • 3

  • 4

  • 6

  • 9

32 Views

Advertisement

222.

If x2 = y + z,  y2 = z + x  and z2 = x + y, then the value of 
   fraction numerator 1 over denominator 1 plus straight x end fraction space plus space fraction numerator 1 over denominator 1 plus straight y end fraction space plus space fraction numerator 1 over denominator 1 plus straight z end fraction is

  • 1

  • 2

  • 0

  • -1


A.

1

x2 = y + z,   y2 = z + x,  z2 = x + y
By hit and trial method,
Put the value of x = y = z = 2 as it satisfies the equation,
   therefore space space fraction numerator 1 over denominator 1 plus straight x end fraction space plus space fraction numerator 1 over denominator 1 plus straight y end fraction space plus space fraction numerator 1 over denominator 1 plus straight z end fraction space equals space 1 third space plus space 1 third space plus space 1 third space equals space 1

30 Views

Advertisement
223.

If x2 - 3x + 1 = 0,  then the value of straight x squared space plus space straight x space plus space 1 over straight x space plus space 1 over straight x squared is

  • 2

  • 6

  • 8

  • 10

35 Views

224.

If a2 + b2 + 4c2 = 2(a + b - 2c) - 3 and a, b, c are real, then the value of (a2 + b2 + c2) is

  • 3 1 fourth

  • 2

  • 2 1 fourth

  • 3

27 Views

Advertisement
225.

If a + b + c = 0, then the value of
open parentheses fraction numerator straight a space plus space straight b over denominator straight c end fraction space plus space fraction numerator straight b space plus space straight c over denominator straight a end fraction space plus space fraction numerator straight c space plus space straight a over denominator straight b end fraction close parentheses space open parentheses fraction numerator straight a space over denominator straight b space plus space straight c end fraction space plus space fraction numerator straight b space over denominator straight c space plus space straight a end fraction space plus space fraction numerator straight c space over denominator straight a space plus space straight b end fraction close parentheses is

  • 9

  • 0

  • 8

  • -3

27 Views

226.

If straight a space asterisk times space straight b space equals space straight a space plus space straight b space plus space straight a over straight b comma then the value of 12 * 4 is

  • 48

  • 19

  • 20

  • 21

26 Views

227.

If a, b and c are non-zero, straight a space plus space 1 over straight b space equals space 1 space space space and space straight b space plus space 1 over straight c space equals space 1 then the value of abc is

  • -3

  • 1

  • -1

  • 3

29 Views

228.

If x ≠ 0,  y ≠ 0  and z ≠ 0 and 
1 over straight x squared space plus fraction numerator begin display style 1 end style over denominator begin display style straight y squared end style end fraction space plus space fraction numerator begin display style 1 end style over denominator begin display style straight z squared end style end fraction space equals space 1 over xy space plus space 1 over yz space plus space 1 over zx,  then the relation among x, y and z is

  • 1 over straight x space plus space 1 over straight y space plus space 1 over straight z space equals space 0

  • x = y = z

  • x + y + z = 0

  • x + y = z

28 Views

Advertisement
229.

If x2 + y2 + z2 = 2(x - y - z) - 3, then the value of 2x - 3y + 4z is (assume that x, y and z) are all real numbers).

  • 3

  • 0

  • 9

  • 1

28 Views

230.

If a2 + 1 = a,  then the value of a12 + a6 + 1 is

  • 2

  • 3

  • -3

  • 1

27 Views

Advertisement