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The lines joining the origin to the poin...

The lines joining the origin to the points of intersection of the curves :
`ax^(2)+2hxy+by^(2)+2gx=0 and a'x^(2)+2h'xy+b'y^(2)+2g'x=0` are ate right angles if :

A

`a(h'+g')=a'(h+g)`

B

`h(a'+b')=h'(a+b)`

C

`g(a'+b')=g'(a+b)`

D

`g(a+b)=g'(a'+b')`.

Text Solution

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The correct Answer is:
C
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MODERN PUBLICATION-UNIT TEST PAPER NO. 2 (GEOMETRIES)-Select the correct answer
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  2. Area of the triangle with vertices (a, b ), (x(1), y(1)) and (x(2), y(...

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  3. ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents two parallel straight lines ...

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  7. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of...

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  8. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

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  9. The normal at the point (bt(1)^(2), 2bt(1)) on a parabola meets the pa...

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  10. The radius of the circle passing through the foci of the ellipse (x^(2...

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  11. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

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  12. The points representing root3(5+isqrt(3)) lie.

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  13. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  14. The area of the rectangle formed by the perpendiculars from the centre...

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  16. If P and Q are two points on the circle : x^(2)+y^(2)-4x-4y-1=0, whi...

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  17. A focal chord of y^(2)=4ax meets it in P and Q. If S is the focus, th...

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  18. The eccentric angles of the extremities of latus-rectum to the ellips...

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  19. The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^...

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