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The lines (a+b)x+(a-b)y=2ab, (a-b)x +(a+...

The lines `(a+b)x+(a-b)y=2ab, (a-b)x +(a+b)y=2ab `, and `x+y=0` form an isosceles triangles whose vertical angle is

A

0

B

`pi//4`

C

`2tan^(-1)(a//b)`

D

`2tan^(-1)(2ab//(a^2-b^2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
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  2. The angles of the triangle formed by the lines 5x+3y-15=0, x+y-4=0, ...

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  3. 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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  4. 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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  5. 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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  6. The lines 2x-y-1=0, 3x-y-7=0, 3x-2y+4=0

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

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

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

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

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

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

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

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

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

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

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

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  18. If the opposite vertices of a square are (-2, 3) and (8, 5), then the ...

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  19. The ends of the base of an isoceles triangle are at (2a, 0) and (0, a)...

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  20. The foot of the perpendicular of the point (3, -5) in y-axis is

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