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The equation ax^(2)+2hxy+by^(2)+2gx+2fy+...

The equation `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` repersents a rectangular hyperbola if

A

`Delta ne 0`, `h^(2) gt ab`, `a+b=0`

B

`Delta ne 0`, `h^(2) lt ab`, `a+b=0`

C

`Delta ne 0`, `h^(2) = ab`, `a+b=0`

D

none of these

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OBJECTIVE RD SHARMA ENGLISH-HYPERBOLA-Exercise
  1. The locus of the point of intersection of the straight lines (x)/(a)+(...

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  2. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a hyperbola if

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  3. The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 repersents a rectangular h...

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  4. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  5. Find the value of m, for which the line y=mx + 25sqrt3/3 is a normal t...

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  6. The value of m for which the line y=mx+2 becomes a tangent to the hype...

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  7. The equation (x^2)/(12-lambda)+(y^2)/(B-lambda)=1 represents

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  8. If the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 (agtb) and x^(2)-y(2)=...

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  9. about to only mathematics

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  10. The equation of the tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2...

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  11. The diameter of 16x^(2)-9y^(2)=144 which is conjugate to x=2y is

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  12. The tangents from a point (2sqrt(2),1) to the hyperbola 16x^(2)-25y^(2...

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  13. If the line y=3x+lambda touches the hyperbola 9x^2-5y^2=45, then the v...

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  14. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  15. A point moves in a plane so that its distance PA and PB from who fixed...

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  16. If ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and hyperbola (x^(2))/(144)-...

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  17. The curve represented by x=acos h theta, y=bsin h theta, is

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  18. The equation oi the conic with focus at (1,-1) directrix along x-y+1=0...

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  19. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

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  20. Area of the triangle formed by the lines x-y=0,x+y= 0 and any tangant ...

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