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Find the centroid and in-centre of the triangle, equations of whose sides are `3x-4y=0, 12 y + 5 x = 0 and y-15=0`

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

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  2. If the point as (4,7) and (costheta,sintheta) , where 0<theta<pi , lie...

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  3. Find the centroid and in-centre of the triangle, equations of whose s...

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  4. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

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  5. Find the tangent of the angle between the lines whose intercepts on th...

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  6. Find the value of k if the straight line 2x+3y+4+k(6x-y+12)=0 is perpe...

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  7. Find the values of beta so that the point (0,beta) lies on or inside t...

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  8. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

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  9. Prove that the area of the parallelogram formed by the lines a1x+b1y+c...

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  10. Show that the diagonals of the parallelogram whose sides are l x+m y+n...

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  11. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

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  12. Prove that the area of the parallelogram formed by the lines xcosalpha...

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  13. Find the equation of the perpendicular bisector of the line segment ...

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  14. The vertices of a triangle are A(10 ,4),B(-4,0)a n dC(-2, 8)dot Find t...

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  15. Two sides of a square lie on the lines x+y=1a n dx+y+2=0. What is its ...

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  16. Prove that the line 5x-2y-1=0 is mid-parallel ot the lines 5x-2y-9=0a ...

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  17. Find the equation of a line that has y - intercept 4 and is perpendic...

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  18. P1, P2 are points on either of the two line y-sqrt(3)|x|=2 at a distan...

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  19. Find the equation of a line has y-i n t ercept is -4 and is parallel ...

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  20. Find the equation of a line passing through (1,2) and making angle of ...

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