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Let A(2,-3)a n dB(-2,1) be vertices of a...

Let `A(2,-3)a n dB(-2,1)` be vertices of a triangle `A B Cdot` If the centroid of this triangle moves on the line `2x+3y=1,` then the locus of the vertex `C` is the line `2x+3y=9` `2x-3y=7` `3x+2y=5` `3x-2y=3`

A

`2x+3y=9`

B

`2x-3y=7`

C

`3x+2y=5`

D

`3x-2y=3`

Text Solution

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A
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ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(2)(MULTIPLE CHOICE QUESTIONS)
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  2. The centroid of a triangle is (1,4) and the co-ordinate of its two ver...

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  3. Let A(2,-3)a n dB(-2,1) be vertices of a triangle A B Cdot If the cent...

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  7. (x(1)-x(2))^(2)+(y(1)-y(2))^(2)=a^(2) (x(2)-x(3))^(2)+(y(2)-y(3))^(2)=...

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  8. If P be a point equidistant from points A (3,4) and B (5,-2) and area ...

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  9. P(3, 1), Q(6, 5) and R(x, y) are three points such that the angle PRQ ...

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  10. If P and Q are two points on the line 3x + 4y = - 15, such that OP = O...

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  11. P(2,1) , Q (4,-1) , R (3,2) are the vertices of a triangle and if thro...

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  12. If the extremities of the base of an isosceles triangle are the points...

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  13. The line x+y=4 divides the line joining the points (-1,1) and (5,7) in...

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

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

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  16. If A and B are the points (-3,4) and (2,1). Then the co -ordinates of ...

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  17. P and Q are points on the line joining A(-2,5) and B(3,1) such that AP...

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  18. A the equation of the lines joining the origin to the points of trisec...

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  19. The perpendicular bisector of the line segment joining P (1, 4) and...

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