If p2, q2 and r2 (where p, q, r > 0) are in GP, then

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

71.

The roots α and β of a quadratic equation, satisfy the relations α + β = α2 + β2 and αβ = α2β2. What is the number of such quadratic equations ?

  • 0

  • 2

  • 3

  • 4


Advertisement

72.

If p2, q2 and r(where p, q, r > 0) are in GP, then which of the following is/are correct ?

1) p, q and r are in GP.

2) ln(p), ln(q) and ln(r) are in AP

Select the correct answer using the code given below :

  • 1 only

  • 2 only

  • Both 1 and 2

  • Neither 1 nor 2


C.

Both 1 and 2

Given p2, q2 and r(where p, q, r  > 0) are in GP

 q2p2 = r2q2  qp = rq   ...i p, q and r are in GPFrom eq i  qp = rq  Taking logarithm logqp = logrq logq - logp = logr - logq 2logq = logp + logr Inp, lnq and lnr are in AP


Advertisement
73.

What is the modulus of the complex number cosθ + isinθcosθ - isinθ where, i =  - 1 ?

  • 12

  • 1

  • 32

  • 2


Advertisement