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If y = 2x + K is a diameter to the circl...

If y = 2x + K is a diameter to the circle `2(x^(2) + y^(2)) + 3x + 4y –1 = 0`, then K equals

A

0

B

1

C

2

D

`1//2`

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MOTION-CIRCLE-Exercise - 1 (Objective Problems | JEE Main)
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  3. If y = 2x + K is a diameter to the circle 2(x^(2) + y^(2)) + 3x + 4y –...

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

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

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

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

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

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

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

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

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

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

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

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  17. The tangent from the point of intersection of the lines 2x – 3y + 1 = ...

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  18. The equation of the circle having the lines y^(2) – 2y + 4x – 2xy = 0 ...

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  19. The equation of director circle to the circle x^(2) + y^(2) = 8 is

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  20. Two perpendicular tangents to the circle x^(2) + y^(2) = a^(2) meet at...

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