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Statement 1: The value of alpha for whic...

Statement 1: The value of `alpha` for which the point `(alpha,alpha^2)` lies inside the triangle formed by the lines `x=0,x+y=2` and `3y=x` is `(0,1)dot` Statement 2: The parabola `y=x^2` meets the line`x+y=2` at`(1,1)dot`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1: If the straight line x=8 meets the parabola y^2=8x at Pa ...

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  2. Statement 1: Normal chord drawn at the point (8, 8) of the parabola...

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  3. Statement 1: The value of alpha for which the point (alpha,alpha^2) li...

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  4. Statement 1: If there exist points on the circle x^2+y^2=a^2 from whic...

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  5. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

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  6. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  7. The tangent at any point P onthe parabola y^2=4a x intersects the y-ax...

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  8. If y=m1x+c and y=m2x+c are two tangents to the parabola y^2+4a(x+a)=...

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  9. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn ...

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  10. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y2=8...

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  11. A line of slope lambda(0 lt lambda lt 1) touches the parabola y+3x^2=...

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  12. If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to...

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  13. The straight lines joining any point P on the parabola y^2=4a x to the...

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  14. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

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  15. A tangent is drawn to the parabola y^2=4 x at the point P whose abscis...

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  16. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) ...

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  17. From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the...

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  18. A line A B makes intercepts of lengths a and b on the coordinate axes....

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  19. Prove that the line joining the orthocentre to the centroid of a tr...

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  20. A is a point on the parabola y^2=4a x . The normal at A cuts the parab...

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