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A line L passing through the focus of th...

A line `L` passing through the focus of the parabola `y^2=4(x-1)` intersects the parabola at two distinct points. If `m` is the slope of the line `L ,` then `-11` `m in R` (d) none of these

A

`-1ltmlt1`

B

`mlt-1ormlt`

C

`minR`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Any line passing through the focus other than the axis always meets the parabols at two distinct points.
Hence, `m in R - {0}`.
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CENGAGE-PARABOLA-Exercise (Single)
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  2. A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2...

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  3. A line L passing through the focus of the parabola y^2=4(x-1) intersec...

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  4. The circle x^2+y^2+2lambdax=0,lambda in R , touches the parabola y^2=...

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  5. A set of parallel chords of the parabola y^2=4a x have their midpoint ...

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  6. If the points A (1,3) and B (5,5) lying on a parabola are equidistant ...

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  7. The radius of the circle whose centre is (-4,0) and which cuts the par...

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  8. The circle x^2+y^2=5 meets the parabola y^2=4x at P and Q . Then the l...

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  9. If y1, y2, y3 be the ordinates of a vertices of the triangle inscri...

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  10. Let P be the point (1, 0) and Q be a point on the locus y^2=8x . The l...

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  11. An equilateral triangle S A B is inscribed in the parabola y^2=4a x ha...

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  12. C is the center of the circle with center (0, 1) and radius unity. P i...

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

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  14. A B is a chord of the parabola y^2=4a x with vertex AdotB C is drawn p...

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  15. The set of values of alpha for which the point (alpha,1) lies inside t...

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  16. If X is the foot of the directrix on axis of the parabola. PP' is a d...

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  17. A water jet from a function reaches it maximum height of 4 m at a d...

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  18. Area of the triangle formed by the vertex, focus and one end of latusr...

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  19. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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  20. Two parabolas have the same focus. If their directrices are the x- and...

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