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IF the tangent at (1,7) to the curve x ^...

IF the tangent at `(1,7)` to the curve `x ^(2) = y-6 ` touches the circle ` x^(2) + y^(2) + 16x + 12 y + c=0,` then the value of c is

A

95

B

195

C

185

D

85

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The correct Answer is:
A
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MOTION-PARABOLA-EXERCISE - IV
  1. Let , P be the point on the parabola y^(2) = 8x which is at a min...

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  2. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

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  3. IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...

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  4. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

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  5. The axis of a parabola is along the line y=x and the distance of its v...

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  6. The equations of the common tangents to the parabola y = x^2 and y=-...

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  7. Match the following. Normals are drawn at points P Q and R lying on th...

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  8. Statement-1: The curve y=(-x^(2))/2+x+1 s symmetric with respect to th...

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  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  10. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  11. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  12. The tangent and normal at P(t), for all real positive t, to the parabo...

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  13. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

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  14. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

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  15. Let (x, y) be any point on the parabola y^(2) = 4x. Let P be the point...

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  16. Let L be a normal to the parabola y^(2) = 4x. If L passes through the ...

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

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

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  19. line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola y^(2...

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  20. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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