A ray of light is incident on x-axis at A ≡(-2,0) and after reflection from x-axis it intersect the curve y2=4 x in mathrmP and mathrmQ. If (1/ mathrmAP)+(1/ mathrmAQ)=(1/4) ( mathrmP, mathrmQ being in mathrmI-quadrant), then equation of incident ray, is

Question

A ray of light is incident on x-axis at A ≡(-2,0) and after reflection from x-axis it intersect the curve y2=4 x in mathrmP and mathrmQ. If (1/ mathrmAP)+(1/ mathrmAQ)=(1/4) ( mathrmP, mathrmQ being in mathrmI-quadrant), then equation of incident ray, is (A)  mathrmx+ mathrmy+2=0 (B) y-x √3-2 √3=0 (C) y+x √3+2 √3=0 (D) x+√3 y+2=0

Tardigrade Admin · Accepted Answer

Correct answer is (c) y+x √3+2 √3=0

Q. A ray of light is incident on $x$ -axis at $A \equiv (- 2, 0)$ and after reflection from $x$ -axis it intersect the curve $y^{2} = 4 x$ in $P$ and $Q$ . If $\frac{1}{AP} + \frac{1}{AQ} = \frac{1}{4}$ ( $P, Q$ being in $I$ -quadrant), then equation of incident ray, is

$x + y + 2 = 0$

$y - x 3 - 23 = 0$

$y + x 3 + 23 = 0$

$x + 3 y + 2 = 0$

Correct answer is (c) $y + x 3 + 23 = 0$

Q. A ray of light is incident on x-axis at A≡(−2,0) and after reflection from x-axis it intersect the curve y2=4x in P and Q. If AP1​+AQ1​=41​ ( P,Q being in I-quadrant), then equation of incident ray, is

x+y+2=0

y−x3​−23​=0

y+x3​+23​=0

x+3​y+2=0