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A point moves in a plane so that its dis...

A point moves in a plane so that its distance PA and PB from who fixed points A and B in the plane satisfy the relation `P A-P B=k(k!=0)` then the locus of `P` is a. a hyperbola b. a branch of the locus of `P` is c. a parabola d. an ellipse

A

a parabola

B

an ellipse

C

a hyperbola

D

a branch of a hyperbola

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. If the line y=3x+lambda touches the hyperbola 9x^2-5y^2=45, then the v...

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  2. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  3. A point moves in a plane so that its distance PA and PB from who fixed...

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  4. If ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and hyperbola (x^(2))/(144)-...

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  5. The curve represented by x=acos h theta, y=bsin h theta, is

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  6. The equation oi the conic with focus at (1,-1) directrix along x-y+1=0...

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  7. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

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  8. Area of the triangle formed by the lines x-y=0,x+y= 0 and any tangant ...

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  9. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

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  10. If a normal of slope m to the parabola y^2 = 4 a x touches the hyperbo...

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  11. Equation of common tangent to the parabola y^(2)=8x and hyperbola x^(2...

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  12. The circle drawn on the line segment joining the foci of the hyperbola...

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  13. The angle between the asymptotes of the hyperbola 2x^(2)-2y^(2)=9, is

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  14. The difference of the focal distances of anypoint on the hyperbola is ...

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  15. about to only mathematics

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  16. The points of the intersection of the curves whose parametric equation...

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  17. The equation of the hyperbola whose foci are (6.5), (-4,5) and eccentr...

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  18. Find the point on the hyperbola x^2-9y^2=9 where the line 5x+12 y=9 to...

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  19. The length of the latusrectum of the hyperbola (x^(2))/(a^(2))-(y^(2))...

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  20. P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1, and N...

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