If p : q is the sub duplicate ratio of p–x^{2} : q–x^{2} then x^{2} is

- a)p/p+q
- b)q/p+q
- c)pq/p-q
- d)none of these

Correct answer is option 'D'. Can you explain this answer?

3 Answers

Kajal Rathore
answered
May 29, 2018

P/q = √(p - x^2)/√(q - x^2) p^2/q^2 = (p - x^2)/(q - x^2) Cross multiply (p^2)*(q - x^2) = (q^2)*(p - x^2) p^2*q - p^2*x^2 = q^2*p - q^2*x^2 p^2*q - q^2*p = p^2*x^2 - q^2*x^2 pq(p - q) = x^2*(p^2 - q^2) pq(p - q) = x^2*(p + q)(p - q) pq = x^2*(p + q) X^2 = pq/(p + q)

Prashant Kumar
answered
Jul 22, 2018

Take ratio to be equal to k and write all x,y,z in terms of k now values of x,y,z in expression you will get your ans

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