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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2014 · Mathematics · Quadratic Equation

If α, β are the roots of a x^2+b x+c=0 and α+h , β+h are the roots...

If α,β\alpha, \beta are the roots of ax2+bx+c=0a x^2+b x+c=0 and α+h\alpha+h, β+h\beta+h are the roots of px2+qx+r=0p x^2+q x+r=0, then what is hh equal to?

Options

  1. A12(ba−qp)\frac{1}{2} \left(\frac{b}{a}-\frac{q}{p}\right)
  2. B12(−ba+qp)\frac{1}{2} \left(-\frac{b}{a}+\frac{q}{p}\right)
  3. C12(bp+qa)\frac{1}{2} \left(\frac{b}{p}+\frac{q}{a}\right)
  4. D12(−bp+qa)\frac{1}{2} \left(-\frac{b}{p}+\frac{q}{a}\right)

Correct answer

A. 12(ba−qp)\frac{1}{2} \left(\frac{b}{a}-\frac{q}{p}\right)

Step-by-step solution

The correct answer is option (A)
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