Let p, q be the roots of the equation x 2 − 3 x + 2 = 0. The quadratic equation having roots 1 p and 1 q is: Options: A . &nbsp2x2−3x+1=0 B . &nbsp2x2−3x−1=0 C . &nbsp2x2−3x+2=0 D . &nbsp2x2+3x+1=0

Let p, q be the roots of the equation x2−3x+2=0. The quadratic equation

Question

Let p, q be the roots of the equation

x^{2} - 3 x + 2 = 0.

The quadratic equation having roots

\frac{1}{p}

and

\frac{1}{q}

is:

Options:

A . 2x2−3x+1=0

B . 2x2−3x−1=0

C . 2x2−3x+2=0

D . 2x2+3x+1=0

Answer: Option A
:
A
Soln:
Interchange ‘a’ and ‘c’ in the equation

a x^{2} + b x + c = 0

The equation becomes:

2 x^{2} - 3 x + 1 = 0.

Hence option (a)

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