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Prove that the points (2,-1), (0,2), (2,...

Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordinates other vertices of a parallelogram and find the angle between its diagonals.

A

`90^(@)`

B

`0^(@)`

C

`tan^(-1)(2)`

D

`tan^(-1)((1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE ENGLISH-STRAIGHT LINES-ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
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  3. Prove that the points (2,-1), (0,2), (2,3) and (4,0) are the coordi...

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  4. The obtuse angle between the lines y=-2xand y=x+2 is

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  5. The points (-a,-b), (0,0). (a,b) and (a^(2),a^(3)) are

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  6. Find the equation of lines passing through (1,2) and making angle 30^(...

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  7. Show that the equations of the straight lines passing through the poin...

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  8. The equations of the lines through (1.0) and making angle of 45^(@) wi...

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  9. The equation of a line which passes through (2,3) and makes an angle o...

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  10. Find the equation of the line on which the length of the perpendicular...

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  11. The equation of a line parallel to x-axis at a diestance of 3 units ab...

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  12. The equation of a line parallel to y-axis, at a distance of 5/2 units ...

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  13. The equation of line passing through (-2,3) and having inclination of ...

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  14. Find the equation of the line passing through the point (-4, -5) and p...

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  15. The equation of the line, which is perpendicular to 5x-2y=7 and passes...

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  16. In what ratio is the line joining the points (2,3)a n d(4,1) divides t...

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  17. Equation of the line passing through (1,2) and parallel to the line y=...

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  18. Find the equation of the straight line which passes through the point ...

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  19. The equation of the line passing through the point (1,2) and perpendic...

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  20. A line cutting off intercept -3 from the Y-axis and the tangent at ang...

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