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If two of the sides of a parallelogram are represented by `ax^2+2hxy+by^2=0" and "pq+qy=1` is one of its diagonals, prove that the other diagonal is `y(bp-hq)=x(aq-hp)`.

A

x(bp-hq) = y(aq-hp)

B

y(bp-hq) = x(aq-hp)

C

y(bp+hq) = x(aq+hp)

D

x(bp+hq) = y(aq+hp)

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-EXERCISE -II
  1. The sides of a parallelogram are given by 2x^(2)-5xy+2y^(2)=0 and 2x^(...

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  2. The equation of the diagonal passing through the origin of the paralle...

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  3. If two of the sides of a parallelogram are represented by ax^2+2hxy+by...

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

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  5. The combined equation of the diagonals of the square formed by the pai...

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  6. 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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  7. In the above problem, the length of its side is

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

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

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

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

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

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

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

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

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

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

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

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

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

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