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Without using the Pythagoras theorem, sh...

Without using the Pythagoras theorem, show that the points `(4, 4), (3, 5) and (-1, -1)` are the vertices of a right angled triangle.

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The correct Answer is:
`Delta ABC` is right angled.
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KUMAR PRAKASHAN-STRAIGHT LINES-Question of Module (Knowledge Test :)
  1. Without using the Pythagoras theorem, show that the points (4, 4), (3,...

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  2. Find distance between the points A(3, 4) and B(-4, 3).

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  3. Obtain co-ordinates of mid-point of bar(AB) joining A(1, 2), B(7, 8).

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  4. Find area of triangle with verticies A (2, 3), B (-1, 4) and C (-2, -1...

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  5. Find slope of bar(AB) joining points A(4, 5), B(-3, 4).

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  6. If line makes an angle of 45° with the positive side of X -axis then w...

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  7. If line makes an angle 45° with X -axis then write its slopes.

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  8. Find measure of an angle between the lines x + y = 3 and 2x + 5y - 7 =...

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  9. Find measure of an angle between the lines x = 3 and 2x - y - 5 = 0

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  10. Y intercept of line 24x - 10 = 0 is ..........

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  11. .......... is equation of line with slope - sqrt3 and X- intercept 5.

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  12. Y -intercept of line y = 0 is ..........

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  13. Find a if line (a + 1)x + (a^2 + a - 2)y + a=0 is parallel to Y-axis.

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  14. Find k if lines 5x - ky- 7=0 and 2x + 3y + 5 =0 are mutually perpendic...

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  15. Find equation of line passes from points (5, 6) and (-3, 6).

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  16. Find P and alpha by converting equation x+y =1 in xcos alpha + y sin ...

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  17. Find perpendicular distance from point (2, 3) to the line 3x + 4y - 5 ...

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  18. Find perpendicular distance between the lines 3x - 4y + 7 = 0 and 6x -...

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  19. Find k if the perpendicular distance between lines 5x + 12y =1 and 5x ...

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