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Let 'a' and 'b' be non-zero real numbers...

Let 'a' and 'b' be non-zero real numbers. Then, the equation `(ax^2+ by^2+c) (x^2-5xy+6y^2)` represents :

A

four straight lines, when c = 0 and a, b are of the same sign.

B

two straight lines and a circle, when a = b, and c is of sign opposite to that of a.

C

two straight lines and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a

D

a circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a.

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The correct Answer is:
B,B
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MOTION-HYPERBOLA-EXERCISE-4 (Level-II)
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  9. Match the conics in column I with statements/ex- pressions in Column I...

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  10. An ellipse intersects the hyperbola 2x^(2)-2y^(2)=1 orthogonally. The ...

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  11. The circle x^(2)+y^(2)-8x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 in...

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  12. The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the...

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  13. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

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  14. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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