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Show that the straight lines (a-b)x+(b-c...

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

A

form an equilateral triangle

B

are concurrent

C

form an isosceles triangle

D

right angled triangle

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Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
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  7. The equation of the line passing through (1, 1) and makes an angle pi/...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The foot of the perpendicular of the point (-2, 5) in y+3=0 is

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