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The diagonals of the parallelogram whose...

The diagonals of the parallelogram whose sides are `lx+my+n=0, lx+my+n_(1)=0, mx+ly+n=0, mx+ly=n_(1)=0` include an angle

A

`(pi)/(3)`

B

`(pi)/(2)`

C

`tan^(-1)((l^(2)-m^(2))/(l^(2)+m^(2)))`

D

`tan^(-1)((2lm)/(l^(2)+m^(2)))`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
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  2. The diagonals of the parallelogrma formed by the lines a(1)x+b(1)y+c(1...

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  3. The diagonals of the parallelogram whose sides are lx+my+n=0, lx+my+n(...

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  4. The angle between the diagonals of the parallelogram formed by the lin...

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  5. The angles of the triangle formed by the lines 5x+3y-15=0, x+y-4=0, ...

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  6. The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab , and x+y=0 form an is...

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  7. Show that the straight lines (a-b)x+(b-c)y=c-a,(b-c)x+(c-a)y=a-b and (...

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  8. Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right an...

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  9. The lines 2x-y-1=0, 3x-y-7=0, 3x-2y+4=0

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  10. The straight lines 2x+3y=5 and 6x-4y+k=0, k in R are the sides of [if ...

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  11. The equation of the line passing through (1, 1) and makes an angle pi/...

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  12. The equation of a straight line passing through the point (1, 2) and i...

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  13. The equations of the lines passing through (-10, 4) and making an angl...

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  14. The equation of the straight line through the origin, whose intercept ...

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  15. The equation of a straight line passing through (1, 2) and having inte...

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  16. The equations of the lines passing through (4, 5) and making equal ang...

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  17. ABCD is a parallelogram. Equations of overset(" "harr)(AB) and overset...

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  18. The equation to the diagonal through the origin of the quadrilateral f...

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  19. The points A(1,2),B(3,-4) are two vertices of the rectangle ABCD. The ...

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  20. The diagonal of a square is 8x- 15y =0 and one vertex of the square is...

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