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The locus of point of intersection of perpendicular tangent to parabola y^2= 4ax

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Show that the locus of point of intersection of perpendicular tangents to the parabola y^2=4ax is the directrix x+a=0.

Statement-1: y+b=m_(1) (x+a) and y+b=m_(2)(x+a) are perpendicular tangents to the parabola y^(2)=4ax . Statement-2: The locus of the point of intersection of perpendicular tangents to a parabola is its directrix.

The locus of the point of intersection of perpendicular tangents to the parabola y^(2)=4ax is

Statement-1: The tangents at the extremities of a focal chord of the parabola y^(2)=4ax intersect on the line x + a = 0. Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix

The locus of point of intersection of perpendicular tangents drawn to x^(2) = 4ay is

The locus of the point of intersection of the tangents to the parabola y^2 = 4ax which include an angle alpha is

The locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

The locus of the point of intersection of the perpendicular tangents to the parabola x^2=4ay is .

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

ALLEN-TEST PAPER-Chemistry
  1. Statement-1 : Tangents drawn from the point (2,-1)(2,-1) to the hyperb...

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  2. The locus of the point of intersection of perpendicular tangents to th...

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  3. The locus of point of intersection of perpendicular tangent to parabol...

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  4. Statement-1: y+b=m(1) (x+a) and y+b=m(2)(x+a) are perpendicular tangen...

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  5. The locus of the point of intersection of perpendicualr tangents to th...

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  6. The locus of the point of intersection of perpendicular tangents to t...

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  7. Find the locus of the point of intersections of perpendicular tangents...

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  8. Find the locus of the point of intersection of the perpendicular tange...

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  9. Find the equation of the system of coaxial circles that are tangent at...

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  10. The locus of the point of intersection of the tangent to the circle x^...

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  11. Prove that the locus of the point of intersection of tangents to the p...

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  12. Let a point P lies inside an equilateral triangle ABC such that its...

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  13. If F(x)=Ax^(2)+Bx+C,and f(x) is integer when x is integer then

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  14. If sin^(2)x - (m - 3)sin x + m=0 "has real roots then which of the fo...

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  15. If x(1),x(2) "are two solutions of" X^(lnx^(2) )=e^(18) "then product...

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  16. The modulus of (1+i)(3+4i)=

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  17. Evaluate i ^19

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  18. If 4sinθ+3cosθ=5 then tanθ=

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  19. The value of 5tan^ 2θ−5sec ^2 θ is :

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  20. 5sinx−12cosx=−13sin3x , if ϕ=sin ^(−1)( 12/13 ) , then

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