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Assertion (A) : The locus of the point ...

Assertion (A) : The locus of the point of intersection of perpendicular tangents to `y^(2) = 4ax` is its directrix.
Reason (R) : If `theta` is acute angle between the pair of tangents drawn from `(x_(1),y_(2))` to parabola S =0 then tan `theta= (sqrt(S_(11)))/(|x_(1)+a|)`
The correct answer is

A

Both A and R are true and R is the correct explanation of A

B

Both A & R are true but R is not correct explanation of A

C

Only A is true but R is not the correct explanation to A

D

Both A and R is false

Text Solution

Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. Point of contact of y=1-x w.r.t. y^(2)-y+x=0 is

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  2. The line among the following that touches the parabola y^(2)=4ax is

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  3. Assertion (A) : The locus of the point of intersection of perpendicul...

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  4. Two tangents are drawn from (- 2, -1) to y^(2) = 4x. If theta is the a...

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  5. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

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  6. Angle between tangents drawn from origin to parabola y^(2)= 4a(x-a)is

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  7. The angle between tangents to the parabola y^(2)=4x at the points wher...

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  8. Statement-I : The condition for the line y = mx+c to be a tangent to (...

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  9. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  10. If the common tangent to circle x^(2)+y^(2)= c^(2) and the parabola y^...

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  11. Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length o...

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  12. Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is

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  13. The points of contact of the tangents drawn from the point (4, 6) to t...

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  14. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  15. If a,b,c form a GP with common ratio r, the sum of the ordinates of th...

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  16. The locus of foot of perpendicular from the focus upon any tangent to ...

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  17. The locus of point of intersection of tangents drawn at the ends of ch...

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  18. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

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  19. Let O be the origin and A be a point on the cune y^(2)=4x then locus o...

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  20. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

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