If ab + bc + ca = 0, then the value of  is from Quantitative

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

61.

If p + m = 6 and p3 + m3 = 72, then the value of pm is

  • 6

  • 12

  • 9

  • 9

145 Views

62.

If fraction numerator 2 straight p over denominator straight p to the power of straight r minus 2 straight p plus 1 end fraction space equals space 1 fourth comma then the value of open parentheses straight p plus 1 over straight p close parentheses is

  • 7

  • 2 over 5
  • 1

  • 1

156 Views

63.

If 2s = a + b + c, then the value of s(s - c) + (s - a) (s - b) is

  • ab

  • abc

  • 0

  • 0

195 Views

64.

If straight a squared plus straight b squared plus straight c squared space equals space ab space plus bc plus space ac then the value of fraction numerator straight a plus straight c over denominator straight b end fraction is

  • 0

  • 2

  • 1

  • 1

162 Views

Advertisement
Advertisement

65.

If ab + bc + ca = 0, then the value of open parentheses fraction numerator 1 over denominator straight a squared minus bc end fraction space plus space fraction numerator 1 over denominator straight b squared minus ca end fraction plus fraction numerator 1 over denominator straight c squared minus ab end fraction close parentheses is

  • 0

  • 1

  • 3

  • 3


A.

0

space space ab plus bc plus ca space equals space 0
rightwards double arrow space space space ab space plus space ca space equals space minus bc
therefore space space space straight a squared minus bc space equals space straight a squared plus ab plus ac
space equals space straight a left parenthesis straight a plus straight b plus straight c right parenthesis
Similarly,
     straight b squared minus ac space equals space straight b left parenthesis straight a plus straight b plus straight c right parenthesis
straight c squared minus ab space equals space straight c left parenthesis straight a plus straight b plus straight c right parenthesis
therefore space space space space space space fraction numerator 1 over denominator straight a squared minus bc end fraction plus space fraction numerator 1 over denominator straight b squared minus ca end fraction plus fraction numerator 1 over denominator straight c squared minus ab end fraction
equals space fraction numerator 1 over denominator straight a left parenthesis straight a plus straight b plus straight c right parenthesis end fraction space plus space fraction numerator 1 over denominator straight b left parenthesis straight a plus straight b plus straight c right parenthesis end fraction plus fraction numerator 1 over denominator straight c left parenthesis straight a plus straight b plus straight c right parenthesis end fraction
equals space fraction numerator 1 over denominator left parenthesis straight a plus straight b plus straight c right parenthesis end fraction open parentheses 1 over straight a plus 1 over straight b plus 1 over straight c close parentheses
equals space fraction numerator 1 over denominator straight a plus straight b plus straight c end fraction open parentheses fraction numerator bc plus ca plus ab over denominator abc end fraction close parentheses
equals space fraction numerator 1 over denominator straight a plus straight b plus straight c end fraction cross times 0 over abc space equals space 0

182 Views

Advertisement
66.

If left parenthesis 2 plus square root of 3 right parenthesis straight a space equals space left parenthesis 2 minus square root of 3 right parenthesis straight b space equals space 1 then the value of 1 over straight a plus 1 over straight b is

  • 1

  • 2

  • 2 square root of 3
  • 2 square root of 3
135 Views

67.

If 3 straight x plus 3 over straight x space equals space 1, then straight x cubed plus 1 over straight x cubed plus 1 is

  • 0

  • 1 over 27
  • 5 over 27
  • 5 over 27
185 Views

68.

The factors of  are

287 Views

Advertisement
69.

If 4x + 5y = 83 and 3x : 2y =  21 : 22, then (y - x) is

  • 3

  • 4

  • 7

  • 11

260 Views

70.

If x = 11, then the value of 
  is

  • 5

  • 10

  • 15

  • 20

157 Views

Advertisement