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The tangent and normal at `P(t)`, for all real positive `t`, to the parabola `y^2= 4ax` meet the axis of the parabola in `T` and `G` respectively, then the angle at which the tangent at `P` to the parabola is inclined to the tangent at `P` to the circle passing through the points `P, T `and `G` is

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Radius of the circle that passes through the origin and touches the ...

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  2. If A(1)B(1)andA(2)B(2) are two focal chords of the parabola y^(2)=4ax,...

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  3. The tangent and normal at P(t), for all real positive t, to the parabo...

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  4. y=x+2 is any tangent to the parabola y^2=8xdot The point P on this tan...

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  5. Two parabola have the same focus. If their directrices are the x-axis ...

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  6. The triangle PQR of area 'A' is inscribed in the parabola y^2=4ax such...

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  7. The length of the chord of the parabola y^2=x which is bisected at th...

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

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  10. Let y=f(x) be a parabola, having its axis parallel to the y-axis, whi...

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  11. Two mutually perpendicular tangents of the parabola y^2=4a x meet the ...

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  12. Let S be the focus of y^2=4x and a point P be moving on the curve s...

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  13. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of ...

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  14. If y1, y2, y3 be the ordinates of a vertices of the triangle inscr...

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

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  16. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

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  17. Parabola y^2=4a(x-c1) and x^2=4a(y-c2) , where c1a n dc2 are variable,...

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  18. A circle touches the x-axis and also thouches the circle with center ...

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  19. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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

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