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Prove that the area of the parallelogram...

Prove that the area of the parallelogram formed by the lines `xcosalpha+ysinalpha=p ,xcosalpha+ys inalpha=q ,xcosbeta+ysinbeta=ra n dx cosbeta+ysinbeta=si s+-(p-q)(r-s)cos e c(alpha-beta)dot`

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Show that the diagonals of the parallelogram whose sides are l x+m y+n...

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

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

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

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

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

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

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

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

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

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

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  12. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

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  13. Find the equation of a line which is parallel to y-axis and passes th...

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  14. Find the equation of a line which is equidistant from the lines x=4 a ...

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  15. Find the equation of a straight line which makes an angle of tan^(-1)s...

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  16. The equation of the base of an equilateral triangle is x+y=2 and its v...

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  17. find the slope of a line whose inclination to the positive directioin ...

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  18. What can be said regarding a line if its slope is i. positive ii. zero...

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  19. Find the slope of a line which passes through points (3,2) and (-1,5).

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  20. Determine x so that 2 is the slope of the line through (2,5) and (x ,3...

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