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Centroid of the triangle, the equations of whose sides are `12x^(2)-20xy+7y^(2)=0and2x-3y+4=0` is

A

`(-(7)/(3),(7)/(3))`

B

`(-(8)/(3),(8)/(3))`

C

`((8)/(3),(8)/(3))`

D

`((4)/(3),(4)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-STRAIGHT LINES-Exercise
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  2. The equations of two sides of a square whose area is 25 sq.units are 3...

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  3. Centroid of the triangle, the equations of whose sides are 12x^(2)-20x...

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  4. If the lines a x+2y+1=0,b x+3y+1=0a n dc x+4y+1=0 are concurrent, then...

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  5. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

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  6. If the foot of the perpendicular from the origin to a straight line is...

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  7. A rectangle has two opposite vertices at the points (1,2) a n d (5,5)....

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  8. The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is...

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  9. A line passes through the point (2,2) and is perpendicular to the line...

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  10. A line passes through (2, 2) and is perpendicular to the line 3x+y=3. ...

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  11. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

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  12. A line passes through the point of intersection of the line 3x+y+1=0 a...

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  13. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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  14. Find the image of the point (3,8) with respect to the line x+3y=7 assu...

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  15. If a!=b!=c write the condition for which the equations (b-c)x+(c-a)y+(...

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  16. The range of theta in the interval (0,pi) such that the points (3,5) a...

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  17. If P(sin theta, 1//sqrt(2)) and Q(1//sqrt(2), cos theta), -pi le theta...

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  18. If the point (1, alpha) always remains in the interior of the triangle...

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  19. Let ABC be an isosceles triangle with AB = BC. If base BC is parallel ...

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  20. If a, c, b are in G.P then the line ax + by + c= 0

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