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Parabola question

2017 · Shift 1 · Q25

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PYQ Library
JEE Advanced
Mathematics
Parabola
2017 · Shift 1 · Q25

Parabola question

2017 · Shift 1 · Q25

JEE AdvancedMathematicsParabolaMultiple correct+4 / −1

If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and mid-point (h, k), then which of the following is(are) possible value(s) of p, h and k?

A
p = $-$ 1, h = 1, k = $-$ 3
B
p = 2, h = 3, k = $-$ 4
C
p = $-$ 2, h = 2, k = $-$ 4
D
p = 5, h = 4, k = $-$ 3

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