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STD 11 - 10.2 parabola,ellipse,hyperbola — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 10.2 parabola,ellipse,hyperbola1 Mark
MCQ
Two parabolas have the same focus. If their directrices are the $x -$  axis $\&$ the $ y -$  axis respectively, then the slope of their common chord is :
  • ✓
    $± 1$
  • B
    $4/3$
  • C
    $3/4$
  • D
    none
✓

Answer

Correct option: A.
$± 1$
a
Let focus be $(a, b).$ 

Equations are $ (x - a)^2 + (y - b)^2 = x^2 $ and
$(x - a)^2 + (y - b)^2 = y^2.$

Common chord $s_1 - s_2 = 0$ 

given $x^2 - y^2 = 0 \Rightarrow y = ± x $

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