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Show that the lines joining the origin to the two points of intersection of the curves `ax^(2)+2hxy+by^(2)+2gx=0, a_(1)x^(2)+2h_(1)xy+b_(1)y^(2)+2g_(1)x=0` will be at right angles to one another if `g(a_(1)+b_(1))=g_(1)(a+b)`

A

`g/g_1`

B

`g_1/g`

C

`(-g)/g_1`

D

`(-g_1)/g`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)
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  2. If 3x^(2)-11xy+10y^(2)-7x+13y+k=0 denotes a pair of straight lines, t...

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  3. The figure formed by the pairs of lines 2x^(2)+3xy-2y^(2)=0 and 2x^(2)...

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  4. If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a re...

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  5. The equation to a pair of oppite sides of parallelogram are x^2-sx+6=0...

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  6. The straight lines represented by (y-mx)^2=a^2(1+m^2) and (y-nx)^2 =a^...

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  7. If the equation 2hxy+2gx+2fy+c=0 represents two straight lines and for...

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  8. The distance between the parallel lines given by (x+7y)^(2) +4sqrt(2)(...

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  9. The condition for the equation x^2(lambda+mu)xy+lambdamuy^2+x+muy=0 to...

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  10. Value of 'K' so that equation 16x^2+24xy+ly^2+kx--12y-21=0. Represents...

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  11. Show that the following equations represents a pair of parallel lines ...

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  12. The angle between the lines joining the origin to the point of interse...

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  13. A pair of perpendicular straight lines passes through the origin and a...

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  14. Show that the lines joining the origin to the two points of intersecti...

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  15. Let PQR be right angled isoscles triangle right angled at P (2,1). If ...

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  16. All chords of a curve 3x^(2)-y^(2)-2x+4y=0 which subtends a right angl...

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  17. If the line y=sqrt3x " cuts the curve " x^3+y^3+3xy+5x^2+3y^2+4x+5y-1=...

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  18. The line x+y=1 meets the lines represented by equation y^2-6cy^2+11x^2...

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  19. If x/a+y/b=1 " intersects " 5x^2+5y^2+5bx+5ay-9ab=0 at P and Q, angleP...

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  20. If the lines represented by the equation 3y^2-x^2+2sqrt3x-3=0 are rota...

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