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Two congruent circles with centered at (...

Two congruent circles with centered at (2, 3) and (5, 6) which intersect at right angles, have radius equal to (a) 2 `sqrt(3)` (b) 3 (c) 4 (d) none of these

A

`2 sqrt(2)`

B

3

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
2

`2r^(2)=3^(2)+3^(2)=18` or `r^(2)=9` or `r=3`
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CENGAGE PUBLICATION-CIRCLE -Excercises (Single Correct Answer Type)
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  2. Let A B be chord of contact of the point (5,-5) w.r.t the circle x^2+y...

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  3. Two congruent circles with centered at (2, 3) and (5, 6) which inter...

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  4. The distance from the center of the circle x^2+y^2=2x to the common ch...

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  5. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

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  6. Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a famil...

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  7. Two circles of radii aa n db touching each other externally, are inscr...

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  8. If the length of the common chord of two circles x^2+y^2+8x+1=0 and x^...

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  9. If r1a n dr2 are the radii of the smallest and the largest circles, re...

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  10. If C1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair o...

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  11. P is a point (a , b) in the first quadrant. If the two circles which p...

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  12. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  13. Find the locus of the centre of the circle which cut the circles x^2+y...

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  14. Tangent are drawn to the circle x^2+y^2=1 at the points where it is me...

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  15. If the line xcostheta=2 is the equation of a transverse common tangent...

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  16. Let C1 and C2 are circles defined by x^2+y^2 -20x+64=0 and x^2+y^2+...

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  17. The circles having radii r1a n dr2 intersect orthogonally. The length ...

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  18. The two circles which pass through (0,a)a n d(0,-a) and touch the line...

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  19. Locus of the centre of the circle which touches x^2+y^2 - 6x-6y+14 =0 ...

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  20. If the chord of contact of tangents from a point P to a given circle p...

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