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Show that the circle on the chord xcosal...

Show that the circle on the chord `xcosalpha+ ysinalpha-p = 0` of the circle `x^2+ y^2 = a^2` as diameter is `x^2 + y^2 - a^2 - 2p (xcosalpha + ysinalpha-p) = 0.`

A

`x ^(2) + y ^(2) + 2px cos alpha + 2py sin alpha- (2p ^(2) + a ^(2)) =0`

B

`x ^(2) + y ^(2) - 2px cos alpha - 2py sin alpha + 2p ^(2) -a ^(2) =0`

C

`x ^(2) + y ^(2) - 2px cos alpha + 2 py sin alpha -2p 6(2) + a ^(2) =0`

D

`x ^(2) + y ^(2) + 2px cos alpha -2py alpha + 2p^(2) -a ^(2) =0`

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  2. The tangents to the circle x ^(2) + y ^(2) = 48, which are inclined at...

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  3. Show that the circle on the chord xcosalpha+ ysinalpha-p = 0 of the ci...

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  4. The locus of a point which moves in a plane so that the sum of the squ...

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  5. Two circles are such that one is inscribed in and the other is circums...

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  6. Two tangents T (1) , T (2) as a pair of tangents from (-2, 0) and rad...

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

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  8. The locus of the centers of the circles which cut the circles x^(2) + ...

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  9. An equation of the tangent at the point (5,2) of a circle is given by ...

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  10. A circle passes through the origin O and cuts the axes at A (a,0) and ...

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  11. If a circle cuts x ^(2) + y ^(2) =a ^(2) orthogonally and passes throu...

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  12. Two circles intersect at the point P (2,3) and the line joining the ot...

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  13. A system of circles is draen through two fixed points (-1,0) and (1,0)...

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  14. Find the radius of the smalles circle which touches the straight line ...

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  15. The area of the smaller portion of the circle x^2+y^2=4 cut off the l...

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  16. Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to...

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  17. The chord along the line y-x=3 of the circle x^2 + y^2 = k^2, subtends...

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  18. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

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  19. Radius of the circle centred at (3,-2) , or maximum area contained in ...

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  20. Equation of a family of circles, such that each member of the gamily p...

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