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Area of the triangle formed by the verte...

Area of the triangle formed by the vertex, focus and one end of latusrectum of the parabola `(x+2)^(2)=-12(y-1)` is

A

36

B

18

C

9

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
(3) Consider equal parabola `y^(2)=12x`.
Vertex: V(0,0)
Focus: S(3,0)
End point of Lutus Rectum : A(3,6)
`:." Required area"=(1)/(2)SVxxAS=9` sq. units
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CENGAGE PUBLICATION-PARABOLA-EXERCISE (SINGLE CORRECT ANSWER TYPE )
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  3. Area of the triangle formed by the vertex, focus and one end of latusr...

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

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  5. Two parabola have the same focus. If their directrices are the x-axis ...

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  6. The locus of the point (sqrt(3h),sqrt(3k+2)) if it lies on the line x-...

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

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  8. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

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  9. The length of the latus rectum of the parabola whose focus is a. ((u...

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  10. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the (a)...

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  11. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

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  12. 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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  13. A line is drawn form A(-2,0) to intersect the curve y^2=4x at Pa n dQ ...

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  14. The length of the chord of the parabola y^2=x which is bisected at the...

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  15. 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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  16. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

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  17. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

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  18. The number of common chords of the parabolas x=y^2-6y+11 and y=x^2-6x+...

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  19. Two parabola have the same focus. If their directrices are the x-and t...

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  20. PSQ is a focal chord of a parabola whose focus is S and vertex is A. P...

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