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Assertion(A) : If the line x = 3y+k touc...

Assertion(A) : If the line x = 3y+k touches the parabola `3y^(2) = 4x` then k = 5
Reason (R) : Equation to the tangent `y^(2)= 8x` inclimed at an angle `30^(@)` to the axis is x-`sqrt(3)y+6=0`

A

Both A and R are true and R `rarr`A

B

Both A and R are true and `R cancelimplies a`

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PARABOLA-EXERCISE- I
  1. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

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  2. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

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  3. The locus of point of intersection of perpendicular tangents drawn to ...

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  4. The point of intersection of tangents at the ends of Iatus rectum of t...

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  5. The equation to the normal to the parabola x^(2) = 2y at (1, 2) is

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  6. Assertion(A) : If the line x = 3y+k touches the parabola 3y^(2) = 4x t...

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  7. The equation of the chord of the parabola y^(2)=2x having (1,1) as its...

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  8. The point of intersection of the tangents at t(1) and t(2) to the para...

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  9. If the tangents at t(1) and t(2) on y^(2)=4ax meet on the directrix th...

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  10. If the tangents at and t(1) and t(2)= on y^(2)=4ax meets on its axis t...

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  11. If the tangents at t(1) and t(2) on y^(2) = 4ax makes complimentary a...

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  12. If the normal at t(1) on the parabola y^(2)=4ax meet it again at t(2)...

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  13. If the normals at t(1) and t(2) on y^(2) = 4ax meet again on the para...

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  14. Number of focal chords of the parabola y^(2)=9x whose length is less t...

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  15. The point of intersection of normals to the parabola y^(2) = 4x at the...

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  16. The ordinate of a point on the parabola y^(2) = 18x is one third of it...

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  17. If the chord joining t(1) and t(2) on the parabola y^(2) = 4ax is a fo...

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  18. The equation of the tangent to the parabola y^(2) = 4x at the point t ...

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  19. If the tangents at t(1)andt(2) on y^(2) = 4ax are at right angles if

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  20. Reflection of y^(2)=x about y-axis is

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