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Two parabolas have the same focus. If th...

Two parabolas have the same focus. If their directrices are the x- and the y-axis, respectively, then the slope of their common chord is `+-1` (b) `4/3` (c) `3/4` (d) none of these

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Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at Aa n dB , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these

lx +my = 1 is the equation of the chord PQ of y^(2) = 4x whose focus is S. If PS and QS meet the parabola again at R and T respectively, then slope of RT is (a) -1/m (b) 1/m (c) 2/m (d) none of the above

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is 6 (b) 4 (c) 3 (d) none of these

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is (a)6 (b) 4 (c) 3 (d) none of these

If V and S are respectively the vertex and focus of the parabola y^2+6y+2x+5=0, then S V= a. 2 b. 1/2 c. 1 d. none of these

A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diameter touches the axis of the parabola. Then the slope of the chord is

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  2. Prove that for a suitable point P on the axis of the parabola, chord A...

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  3. Two parabolas have the same focus. If their directrices are the x- and...

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  4. The number of common chords of the parabolas x=y^2-6y+11 and y=x^2-6x+...

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  14. Find the eccentric angles of the extremities of the latus recta of ...

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  16. If the equation (5x-1)^2+(5y-2)^2=(lambda^2-2lambda+1)(3x+4y-1)^2 repr...

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