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Find the centroid and the area of the triangle formed by the lines `12x^2-20xy+7y^2=0,2x-3y+4=0`

A

`((2)/(3),(2)/(3))`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. If 8x^(2)-14xy+5y^(2)=0 represents two sides of a triangle and centri...

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  2. 2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid...

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  3. Find the centroid and the area of the triangle formed by the lines 12x...

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  4. Orthocentre of the triangle formed by line 3x^(2)-xy-2y^(2)=0 and 2x+3...

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  5. Orthocentre of the triangle formed by lines 2x^(2)-3xy-2y^(2)=0 and 3x...

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  6. If two sides of a triangle lie along 3x^(2)-xy-2y^(2)=0 and its orthoc...

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  7. If 9x^(2)-24xy+ky^(2)-12x+16y-12=0 represents a pair of parallel lines...

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  8. If the equation 9x^(2)+24xy+by^(2)-12x+2fy-12=0 represents a pair of p...

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  9. If the distance between the pair of parallel lines x^(2)+2xy+y^(2)-8ax...

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  10. The length of the intercept on the x-axis cut by the pair of lines 2x^...

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  11. The length of the intercept on the y-axis cut by the pair of lines 2x^...

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  12. The product of perpendiculars from origin to the pair of lines 2x^(2)+...

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  13. The equation of the pair of lines passing through (3, 2) and perpendic...

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  14. The figure formed by the pairs of lines 12x^(2)+7xy-12y^(2)=0 and 12x^...

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  15. The figure formed by the pairs of lines 3x^(2)+10xy+3y^(2)=0 and 3x^(2...

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  16. The sides of a parallelogram are given by 6x^(2)+7xy+2y^(2)=0 and 6x^(...

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  17. The equation of the diagonal passing through the origin of the paralle...

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  18. If 2x^(2)-5xy+3y^(2)=0 represents two adjacent sides of a parallelogra...

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  19. The equation to pair of opposite sides of a parallelogram are x^(2)-7x...

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  20. If the pair of lines 6x^(2)+7xy+2y^(2)=0,6x^(2)+7xy+2y^(2)-5x-3y+1=0 f...

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