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If the tangent at (1,7) to curve x^(2)=y...

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

A

(6,7)

B

(-6,7)

C

(6,-7)

D

(-6,-7)

Text Solution

Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. about to only mathematics

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

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

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  4. The angle between the tangents drawn from the point (1, 4) to the p...

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  5. about to only mathematics

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  6. Equation of common tangent of y=x^2,y=-x^2+4x-4 is

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

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

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  9. The point of intersection of the tangents at the ends of the latus ...

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  10. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

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  11. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  12. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

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  13. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

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  14. The locus of the foot of perpendicular drawn from the centre of the...

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  15. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

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  16. The line passing through the extremity A of the major exis and extremi...

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  17. If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the...

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  18. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

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  19. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

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  20. The number of values of c such that the straight line y=4x+c touches t...

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