The equation of the parabola whose vertex and focus lie on the axis of x at distances a and a1 from the origin respectively is:
A
y2=4(a1−a)x
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B
y2=4(a1−a)(x−a)
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C
y2=4(a1−a)(x−a1)
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D
none of these
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Solution
The correct option is By2=4(a1−a)(x−a) Vertex A is (a,0) Focus S is (a1,0) Distance between vertex and focus AS=a1−a=A(say) So, the equation of parabola with vertex at (a,0) is (y−0)2=4A(x−a) ⇒(y−0)2=4(a1−a)(x−a) ⇒y2=4(a1−a)(x−a)