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The angle between a pair of tangents fro...

The angle between a pair of tangents from a point P to the circe `x^2 + y^2+ 4 x-6y + 9 sin2 alpha + 13 cos^2 alpha =0` is `2alpha`. Find the equation of the locus of the point P.

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The correct Answer is:
`(x+2)^(2)+(y-3)^(2)=4`
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The angle between a pair of tangents from a point P to the circe x^(2)+y^(2)+4x-6y+9sin2 alpha+13cos^(2)alpha=0 is 2 alpha. Find the equation of the locus of the point P.

The angle between the pair of tangents drawn from a point P to the circle x^(2)+y^(2)+4x-6y+9sin^(2)alpha+13cos^(2)alpha=0 is 2 alpha. then the equation of the locus of the point P is x^(2)+y^(2)+4x-6y+4=0x^(2)+y^(2)+4x-6y-9=0x^(2)+y^(2)+4x-6y-4=0x^(2)+y^(2)+4x-6y+9=0

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)-6x-8y+9=0 is (pi)/(3) . Find the equation of the locus of the point P.

The angle between a pair of tangents from a point P to the circle x^(2)+y^(2)=25 is (pi)/(3). Find the equation of the locus of the point P .

Find the condition that the chord of contact of tangents from the point (alpha, beta) to the circle x^2 + y^2 = a^2 should subtend a right angle at the centre. Hence find the locus of (alpha, beta) .

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to

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ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. The angle between a pair of tangents from a point P to the circe x^2 +...

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  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

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  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

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  4. A circle touches the x-axis and also touches the circle with center (...

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  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

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  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

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  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

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  9. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

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

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  12. Consider a family of circles which are passing through the point (-...

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

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

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

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  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

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