If p={1- x/1+ x}, q=1- x/ x, r=/1+ x then which of the following is/are correct? 1. p = q=r 2. p² = qr Select the correct answer using the code given below

CDS 2015 PYQ with Answer — If p={1- x/1+ x}, q=1- x/ x, r=/1+ x then which of the following is/a…

2015 · Q67

If p={1- x/1+ x}, q=1- x/ x, r=/1+ x then which of the following is/are correct?

1p = q=r
2p² = qr

Select the correct answer using the code given below

Elementary MathematicsAlgebra

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2

Explanation

Reading p = √((1−sinx)/(1+sinx)), q = (1−sinx)/cosx, r = cosx/(1+sinx) (the trig names are dropped in the source text): all three equal (1−sinx)/cosx, so p = q = r (statement 1 true), and p² = (1−sinx)/(1+sinx) = qr (statement 2 true). Both correct (option C).