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If the tangent to the parabola y= x^(2) ...

If the tangent to the parabola `y= x^(2) + 6 ` at the point (1, 7) also touches the circle `x^(2) + y^(2) + 16x + 12y + c =0 ` , then the coordinates of the point of contact are-

A

(-1, -2)

B

(2, 3)

C

(6, -7)

D

(-6, -7)

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 6
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  2. From a point (d, 0) three normals are drawn to the parabola y^(2)=x, t...

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  3. The condition that the line ax + by + c =0 is a tangent to the parab...

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  4. The normal to the curve x= a ( cos theta + theta sin theta ) , y= a( ...

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  5. If the tangent to the parabola y= x^(2) + 6 at the point (1, 7) also...

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  7. The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

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  8. If f(x) = x^(3) - 6x^(2) + 9x +3 be a decreasing function, then x lie...

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  9. The minimum value of the function f(theta) = 6 cos theta + 8 sin theta...

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  10. The abscissa of the point on the parabola y^(2) = 2px which is neare...

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  11. The value of a for which the function (a+2)x^(3) - 3ax^(2) + 9ax -1 de...

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  12. A minimum value of the function f(x) = int(0)^(x) te^(-t^(2))dt is-

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  13. If f(x)= x^(3) + ax^(2) + bx + c is an increasing function for all re...

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  14. The area ( in square unit ) in the first quadrant bounded by the parab...

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  15. The slope of the tangent at (x, y) to a curve passing through (1, (pi...

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  16. The time rate of change of the radius of a sphere is (1)/(2 pi) . Whe...

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  17. The rate at which microbe multiply is proportional to the instantaneou...

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  18. A spherical iron ball of radius 10 cm is coated with layer of ice of u...

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  19. The length of a longest interval in which the function f(x)= 3 sin x -...

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