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Prove that A(4,3),B(6,4)a n dC(5,6)a n d...

Prove that `A(4,3),B(6,4)a n dC(5,6)a n dD(3,5)` are the angular points of a square.

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Prove that the line joining the mid-points of the two sides of a tr...

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  2. A ray of light passing through the point (1,2) reflects on the x-a xi ...

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  3. Prove that A(4,3),B(6,4)a n dC(5,6)a n dD(3,5) are the angular points ...

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  4. What is the value of y so that the line through (3,y)a n d(2,7) is par...

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  5. Let A(6,4)a n dB(2,12) be two given points. Find the slope of a line p...

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  7. Determine x so that the line passing through (3,4)a n d(x ,5) makes ...

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  8. If A(-2,1),B(2,3)a n dC(-2,-4) are three points, find the angle betwee...

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  9. Find the equation of a straight line which passes through the point of...

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  10. Classify the following pairs of lines as coincident, parallel or int...

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  11. Find the slope of the lines which make an angle of 45^0 with the line ...

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

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

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

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

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

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

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

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

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