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Find the value of lambda if the equation...

Find the value of `lambda` if the equation `9x^2+4y^2+2lambdax y+4x-2y+3=0` represents a parabola.

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The equation of the latus rectum of a parabola is x+y=8 and the equati...

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  2. Prove that the locus of the center of a circle, which intercepts a cho...

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  3. Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=...

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  4. Find the range of values of lambda for which the point (lambda,-1) is ...

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  5. Prove that the locus of a point, which moves so that its distance from...

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  6. L O L ' and M O M ' are two chords of parabola y^2=4a x with vertex A ...

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  7. If (a ,b) is the midpoint of a chord passing through the vertex of the...

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  8. If two of the three feet of normals drawn from a point to the parabola...

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  9. If three distinct normals can be drawn to the parabola y^2-2y=4x-9 fro...

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  10. Find the locus of thepoint of intersection of two normals to a parabol...

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  11. P(t1) and Q(t2) are the point t1a n dt2 on the parabola y^2=4a x . The...

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  12. Prove that the locus of the point of intersection of the normals at th...

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  13. Find the number of distinct normals that can be drawn from (-2,1) to t...

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  14. If the line passing through the focus S of the parabola y=a x^2+b x+c ...

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  15. If a focal chord of y^2=4a x makes an angle alpha in [0,pi/4] with the...

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  16. Find the length of the normal chord which subtends an angle of 90^@ at...

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  17. Find the locus of the point of intersection of the normals at the end ...

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  18. The abscissa and ordinates of the endpoints Aa n dB of a focal chord o...

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  19. If A B is a focal chord of x^2-2x+y-2=0 whose focus is S and A S=l1, t...

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  20. A circle is drawn to pass through the extremities of the latus rectum ...

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