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If the straight line ax + by = 2 ; a, b!...

If the straight line `ax + by = 2 ; a, b!=0`, touches the circle `x^2 +y^2-2x = 3` and is normal to the circle `x^2 + y^2-4y = 6`, then the values of 'a' and 'b' are ?

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MOTION-CIRCLE-Exercise - 4 | Level - II (Previous Year | JEE Advanced
  1. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

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  2. Let A B C D be a quadrilateral with are 18 , side A B parallel to the ...

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  3. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

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  4. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

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  5. Consider, L(1) : 2x + 3y + p – 3 = 0 , L(2) : 2x + 3y + p + 3 = 0, whe...

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  6. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  7. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  8. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  9. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

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  10. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  11. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

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  12. The circle passing through the point (-1,0) and touching the y-axis at...

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  13. The straight line 2x – 3y = 1 divides the circular region x^(2) + y^(2...

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  14. The locus of the mid-point of the chord of contact of tangents drawn f...

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  15. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

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  16. A tangent PT is drawn to the circle x^2+y^2=4 at the point P(sqrt3,1)....

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  17. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

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  18. A circle s passes through the point ( 0,1) and is orthogonal to the ci...

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  19. Let , RS be the diameter of the circle x^(2) + y^(2) = 1 , where S...

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  20. For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordin...

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  21. Let T be the line passing the points P(–2, 7) and Q(2,–5). Let F(1) be...

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