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Three lines px + qy+r=0, qx + ry+ p = 0 ...

Three lines px + qy+r=0, qx + ry+ p = 0 and rx + py + q = 0 are concurrent of

A

p+q+r=0

B

`p^(2)+q^(2)+r^(2)=pq+qr+rp`

C

`p^(3)+q^(3)+r^(3)=3pqr`

D

p+q-r=0

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
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  2. If (4,0) and (1, -1) are two vertices of a triangle of area 4 square ...

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  3. Three lines px + qy+r=0, qx + ry+ p = 0 and rx + py + q = 0 are concur...

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  4. If each of the points (x,, 4), (-2, y,) lie on the-line joining the p...

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  5. All points lying inside the triangle formed by the points (1, 3), (5,...

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  6. The line segment joining the points (-3,-4) and (1,-2) is divided by ...

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  7. The line segment joining the points (1, 2) and (2,1) is divided by th...

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  8. If the point (5,2) bisects the intercept of a line between the axes t...

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  9. The equation of the line passing through origin and perpendicular to ...

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  10. The image of the point (3, 8) with respect to the line x + 3y = 8 is

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  11. Line x + 2y - 8 = 0 is the perpendicular bisector of AB. If B = (3, 5...

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  12. If the algebraic sum of the distances from the points (2,0), (0, 2) a...

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  13. If a, b, c are in AP then ax + by +c=0 represents

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  14. The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 intersect at ...

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  15. If a, b, c are in AP then ax + by + c = 0 will always pass through a ...

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  16. The mid points of the sides of a triangle are (5, 0), (5, 12) and (0,...

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  17. One vertex of the equilateral triangle with centroid at the origin an...

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