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If 8x^(2)-14xy+5y^(2)=0 represents two ...

If `8x^(2)-14xy+5y^(2)=0` represents two sides of a triangle and centriod of the triangle is (2, 2) then midpoint of third side is

A

(2,-2)

B

(-2,2)

C

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

D

(3,3)

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE EXERCISE
  1. If lamdax^(2)+6xy+9y^(2)+4x+12y+3=0 represents a pair of straight lien...

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  2. If the equation 2xy + gx + fy + 5 = 0 repre sents a pair of lines, the...

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  3. If 8x^(2)-14xy+5y^(2)=0 represents two sides of a triangle and centri...

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  4. 2x^(2)-5xy+2y^(2)=0 represents two sides of a triangle whose centroid...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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