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Let P be the point on the parabola y^(2)...

Let P be the point on the parabola `y^(2)4x` which is at the shortest distance from the center S of the circle `x^(2)+y^(2)-4x-16y+64=0`. Let Q be the point on the circle dividing the line segment SP internally. Then

A

`SP=2sqrt5`

B

`SQ:QP=(sqrt5+1):2`

C

the x-intercept of the normal to the parabola at P is 6

D

the slope of the tangent to the circle at Q is `1/2`

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A, C, D
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ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  6. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  7. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  8. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  10. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  11. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  12. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  13. If the normals of the parabola y^(2)=4x drawn at the end points of its...

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  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  16. Let P be the point on the parabola, y^(2)=8x which is at a minimum dis...

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  17. The circle C1 : x^2 + y^2 = 3, with center at O, intersects the parabo...

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  18. Let P be the point on the parabola y^(2)4x which is at the shortest di...

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  19. The radius of a circle, having minimum area, which touches the curve...

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  20. If a chord which is not a tangent, of the parabola y^(2)=16x has the e...

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