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Find the value of lamda if the equation ...

Find the value of `lamda` if the equation `9x^(2)+4y^(2)+2lamdaxy+4x-2y+3=0` represents a parabola.

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CENGAGE PUBLICATION-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 centre of a circle, which intercepts a cho...

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  3. Find the value of lamda if the equation 9x^(2)+4y^(2)+2lamdaxy+4x-2y+3...

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

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

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  6. LOL' and MOM' are two chord of parabola y^(2)=4ax with vertex A passin...

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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 normal drawn from a point to the parabola ...

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  9. If three distinct normals to the parabola y^(2)-2y=4x-9 meet at point ...

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  10. Find the locus of the point of intersection of two normals to a parabo...

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  11. P(t(1))andQ(t(2)) are points t(1)andt(2) on the parabola y^(2)=4ax. ...

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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=ax^(2)+bx+c ...

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  15. If a focal chord of y^(2)=4ax makes an angle alphain[pi//4,pi//2] with...

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

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

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  18. If AB is a focal chord of x^(2)-2x+y-2=0 whose focus is S and AS=l(1),...

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  19. A circle is drawn to pass through the extermities of the latus rcetum ...

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  20. Circle drawn having its diameter equal to the focal distance of any po...

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