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A circle is drawn touching the x-axis an...

A circle is drawn touching the x-axis and centre at the point which is the reflection of `(a,b)` to theline `y-x=0` . The equation of the circle is

A

`x^(2) + y^(2) - 2bx - 2ay + a^(2) = 0`

B

`x^(2) + y^(2) - 2bx - 2ay + b^(2) = 0`

C

`x^(2) + y^(2) - 2ax - 2by + b^(2) = 0`

D

`x^(2) + y^(2) - 2ax - 2by + a^(2) = 0`

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MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)
  1. B and C are fixed points having co-ordinates (3,0) and (-3,0) respecti...

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  2. The area of an equilateral triangle inscribed in the circle x^2 + y^2-...

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  3. A circle is drawn touching the x-axis and centre at the point which is...

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  4. y = sqrt(3)x + c(1) & y = sqrt(3)x + c(2) are two parallel tangents of...

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  5. intercept on y-axis, by a circle whose diameter is the line joining th...

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  6. If (6, –3) is the one extremity of diameter to the circle x^(2) + y^(2...

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  7. If y = 2x + K is a diameter to the circle 2(x^(2) + y^(2)) + 3x + 4y –...

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  8. A circle touches x axis at +3 distance and cuts an intercept of 8 in +...

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  9. The gradient of the tangent line at the point (a cos alpha, a sin alph...

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  10. If the line lx+my+n=0 is tangent to the circle x^(2)+y^(2)=a^(2) , th...

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  11. If y=c is a tangent to the circle x^(2)+y^(2)–2x+2y–2 =0 at (1, 1), th...

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  12. Line 3x + 4y = 25 touches the circle x^(2) + y^(2) = 25 at the point

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  13. Find the greatest distance of the point P(10 ,7) from the circle x^2+y...

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  14. The parametric coordinates of any point on the circle x^(2) + y^(2) – ...

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  15. Cartesian equations of a circle whose parametric equation are x = – 7 ...

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  16. Find the equation of the two tangents from the point (0, 1 ) to the ci...

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  17. Find the equation of the normal to the circle x^2+y^2=9 at the point (...

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  18. The length of the tangent drawn from the point (2, 3) to the circles 2...

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  19. Find the angle between the two tangents from the origin to the circle ...

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  20. The point from which the tangents to the circles x^2 +y^2-8x + 40 = 0,...

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