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The locus of the point from which the le...

The locus of the point from which the lengths of the tangents to the circles `x^2+y^2=4` and `2(x^2+y^2)-10 x+3y-2=0` are equal is (a)a straight line inclined at `pi/4` with the line joining the centers of the circles (b)a circle (c) an ellipse (d)a straight line perpendicular to the line joining the centers of the circles.

A

a straight line inclined at `pi//4` with the line joining the centers of the circles

B

a circle

C

an ellipse

D

a straight line perpendicular to the line joining the centers of the circles

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The correct Answer is:
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The locus is the radical axis which is perpendicular to the line joining the centers of the circles.
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CENGAGE-CIRCLE -Exercise (Single)
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  7. The equation of the tangent to the circle x^2+y^2=a^2, which makes a t...

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  8. From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn...

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  9. about to only mathematics

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  10. A straight line moves such that the algebraic sum of the perpendicular...

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  11. If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a ...

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  12. 18) A light ray gets reflected from the x=-2. If the reflected ray tou...

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  14. The greatest integral value of a such that sqrt( 9 - a^2 + 2x - x^2) >...

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  15. The chords of contact of tangents from three points A ,Ba n dC to the ...

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  16. The chord of contact of tangents from a point P to a circle passes thr...

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  17. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  18. Tangents PA and PB are drawn to the circle x^(2) +y^(2) = 8 from any a...

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  19. A circle with radius |a| and center on the y-axis slied along it and a...

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  20. Consider a circle x^2+y^2+a x+b y+c=0 lying completely in the first qu...

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