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If a line y=3x+1 cuts the parabola x^2-4...

If a line `y=3x+1` cuts the parabola `x^2-4x-4y+20=0` at `A and B ,` then the tangent of the angle subtended by line segment `A B` at the origin is

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

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  2. Statement 1: If the parabola y^2=4a x and the circle x^2+y^2+2b x=0 to...

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  3. If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at A and B , then th...

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  4. P(x , y) is a variable point on the parabola y^2=4a x and Q(x+c ,y+c) ...

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  5. If a and c are the lengths of segments of any focal chord of the parab...

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  6. AB is a chord the parabola y^(2)=4ax with vertex A. BC is drawn perpen...

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  7. Set of value of alpha for which the point (alpha,1) lies inside the ci...

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  8. If P is a point on the parabola y^(2)=3(2x-3) and M is the foot perpen...

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  9. If y=m x+c touches the parabola y^2=4a(x+a), then (a)c=a/m (b) c=a m...

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  10. The angle between the tangents to the paranola y^(2)=4ax at the points...

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  11. The area of the triangle formed by the tangent and the normal to the ...

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  12. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

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  13. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

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  14. Let A and B two distinct points on the parabola y^(2)=4x. If the axis ...

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  15. The equations of the common tangents to the parabola y = x^2 and y=-...

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  16. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

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  17. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  18. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

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  19. The point of intersection of the tangents of the parabola y^(2)=4x dra...

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  20. Which of the following lines can be normal to parabola y^(2)=12x ?

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