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The locus of a point P(alpha, beta) movi...

The locus of a point `P(alpha, beta)` moving under the condition that the line `y=alphax+beta` is tangent to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` is

A

a circle

B

an ellipse

C

a hyperbola

D

a parabola.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If a circle passes through the point (a, b) and cuts the circle x^2+ y...

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  2. An ellipse has OB as semi minor axis, F and F' its focii eccentricity ...

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  3. The locus of a point P(alpha, beta) moving under the condition that th...

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

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  5. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

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  6. A straight line through the point A(3,4) is such that its intercept be...

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  7. If (a,a^(2)) falls inside the angle made by the lines y = x/2 , x gt ...

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

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

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  10. The locus of the vertices of the family of parabolas y=(a^3x^2)/3+(a^2...

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  11. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

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  12. The axis of a parabola is along the line y=x and the distance of its v...

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  13. The equation of the common tangents to the parabola y = x^2 and y=- (x...

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  14. Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)-(...

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  15. If one of the lines of my^2+(1-m^2) xy-mx^2=0 is a bisector of the ang...

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  16. Let ABCD be a quadrilateral with area 18, with side AB parallel to the...

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  17. Consider a family of circles which are passing through the point (-1,1...

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  18. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  19. A hyperbola having the transverse axis of length 2sintheta, is confoca...

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  20. For the hyperbola (x^(2))/(cos^(2)alpha)-(y^(2))/(sin^(2)alpha)=1, whi...

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