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If theta\ is the angle which the straig...

If `theta\ ` is the angle which the straight line joining the points `(x_1, y_1)a n d\ (x_2, y_2)` subtends at the origin, prove that `tantheta=(x_2y_1-x_1y_2)/(x_1x_2+y_1y_2)\ a n dcostheta=(x_1x_2+y_1y_2)/(sqrt(x1 2 x2 2+y2 2x1 2+y1 2x2 2+ y1 2y2 2))`

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
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  2. Find the angle between the line joining the points (2,0), (0,3) and th...

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  3. If theta\ is the angle which the straight line joining the points (x1...

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  7. Show that the tangent of an angle between the lines x/a+y/b=1 and x/a-...

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  8. Find the values of the parameter a so that the point (a, 2) is an inte...

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  9. determine whether the point (-3, 2) lies inside or outside the triangl...

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  10. Find the distance between the line 12 x-5y+9=0 and the point (2,1).

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  12. What are the points on x-axis whose perpendicular distance from the ...

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  13. Find the points on x=0 line whose perpendicular distance from the line...

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  14. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

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  15. Find the distance of the point (4,5) from the straight line 3x-5y+7=0

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  16. Find the perpendicular distance of the line joining the points (costhe...

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  17. Find the length of the perpendicular from the origin to the straight ...

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  18. Show that the perpendiculars let fall from any point on the straight ...

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  19. Find the length of the perpendicular draw from the point (4,7) upon th...

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  20. What are the points on the x-axis whose perpendicular distance from th...

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