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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-EXERCISE -II
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  2. If the pair of lines 6x^(2)-5xy-6y^(2)=0, 6x^(2)-5xy-6y^(2)+x+5y-1=0 f...

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  3. In the above problem, the length of its side is

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  4. If the pair of lines 8x^(2)+2xy-3y^(2)=0 forms a parallelogram with pa...

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

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  6. The area of rectangle formed by the pair of lines xy+x+y+1=0 and xy+3x...

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  7. Area of quadrilateral formed by two pair of lines a^(2)x^(2)-b^(2)y^(2...

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  8. Find the condition for the lines joining the origin to the points of i...

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  9. The angle between pair of lines formed by joining the points of inters...

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

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  11. The angle between the lines joining the origin to the points of inters...

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  12. A line passing through (1,0) intersects the curve 2x^(2)+5y^(2)-7x=0 i...

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  13. If the lines joining the origin to the points of intersection of a lin...

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

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

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  16. The equation of the pair of lines joining the origin to the points of...

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  17. Let L be the line joing the origin to the point of interesection of th...

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  18. The lines joining the origin to the points of intersection of y=6x+8 w...

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  19. The line x+y=k meets the pair of straight lines x^(2)+y^(2)-2x-4y+2=0 ...

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  20. If two pairs of straight lines with combined equations xy + 4x - 3y -...

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