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Normals at two points (x1y1)a n d(x2, y2...

Normals at two points `(x_1y_1)a n d(x_2, y_2)` of the parabola `y^2=4x` meet again on the parabola, where `x_1+x_2=4.` Then `|y_1+y_2|` is equal to

A

`sqrt2`

B

`2sqrt2`

C

`4sqrt2`

D

`8sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. Evaluate int 22x^2 dx.

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  2. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

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  3. Evaluate int 23x^2 dx.

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  4. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

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  5. From a point (sintheta,costheta), if three normals can be drawn to the...

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  6. If two different tangents to y^2=4x are the normals to x^2=4 by, then

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

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  8. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

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  9. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

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  10. Find the length of the side of an equilateral traingle inscribed in th...

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  11. Let C be a circle with center (0,1) and radius unity. P is the parabol...

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  12. Evaluate int 24x^2 dx.

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

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  14. Evaluate int 25x^2 dx.

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  15. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  16. Evaluate int 26x^2 dx.

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  17. If the fourth term in the expansion of (a x+1/x)^n is 5/2, then find ...

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  18. The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...

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  19. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

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  20. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

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