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If a!=0 and the line 2b x+3c y+4d=0 pa...

If `a!=0` and the line `2b x+3c y+4d=0` passes through the points of intersection of the parabolas `y^2=4a x` and `x^2=4a y ,` then (a)`d^2+(2b+3c)^2=0` (b)`d^2+(3b+2c)^2=0` (c)`d^2+(2b-3c)^2=0` (d)none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the...

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  2. Let S be the focus of y^2=4x and a point P be moving on the curve s...

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  3. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

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  4. If y(1),y(2),andy(3) are the ordinates of the vertices of a triangle i...

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  5. The circle x^(2)+y^(2)+2lamdax=0,lamdainR, touches the parabola y^(2)=...

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  6. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  7. Parabolas y^(2)=4a(x-c(1))andx^(2)=4a(y-c(2)), where c(1) and c(2) are...

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  8. A circle touches the x-axis and also touches the circle with centre (0...

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  9. The locus of the vertex of the family of parabolas y=(a^(3)x^(2))/(3...

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  10. Let C(1)andC(2) be, respectively, the parabola x^(2)=y-1andy^(2)=x-1. ...

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  11. If the line y-sqrt(3)x+3=0 cut the parabola y^2=x+2 at P and Q , then ...

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  12. The locus of a point on the variable parabola y^2=4a x , whose distanc...

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  13. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

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  14. The angle between the tangents drawn from the point (1,4) to the para...

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  15. Statement 1: There are no common tangents between the circle x^2+y^2...

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  16. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

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  17. C (0,1) is the centre of the circle with radius unity. P is the parabo...

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  18. The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from wh...

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  19. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

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  20. Normals at two points (x(1),y(1))and(x(2),y(2)) of the parabola y^(2)=...

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