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The range of values of a for which the p...

The range of values of a for which the point (a, 4) is outside the circles `x^(2)+y^(2)+10x=0` and `x^(2)+y^(2)-12x+20=0`, is

A

`(-oo, -8) uu(-2,6) uu (6, oo)`

B

(-8, -2)

C

`(-oo, -2)uu(-2, oo)`

D

none of these

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. The point (sintheta, costheta). theta being any real number, die insid...

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  2. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

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  3. The range of values of a for which the point (a, 4) is outside the cir...

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  4. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

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  5. If the point (lambda,lambda+1) lies inside the region bounded by the c...

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  6. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

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  7. The abscissa of the two points A and B are the roots of the equation x...

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  8. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

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  9. if y = mx is a chord of a circle of radius a and the diameter of the c...

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  10. 18. The straight lines joining the origin to the points of intersectio...

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  11. Find the locus of the point of intersection of tangents to the circle ...

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  12. If the chord of contact of tangents from a point (x1, y1) to the circl...

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  13. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

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  14. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

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  15. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

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  16. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

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  17. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

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  18. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

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  19. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

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  20. If P is a point such that the ratio of the squares of the lengths of t...

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