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The area of the triangle formed by the l...

The area of the triangle formed by the line `x cos alpha+y sin alpha=p` with the coordinate axes is

A

`p^(2)| sin 2 alpha|`

B

`p^(2)|cos 2 alpha|`

C

`p^(2)|sec2alpha|`

D

`p^(2)|cosec 2alpha|`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-STRAIGHT LINES-EXERCISE I
  1. The intercepts a,b of a straight line on the co ordinate axes are give...

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  2. A straight line passes through the fixed point [1/k,1/k]. The sum of ...

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  3. The area of the triangle formed by the line x cos alpha+y sin alpha=p ...

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  4. If the area of the triangle formed by the lines x=0, y=0, 3x+4y=a(a gt...

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  5. The area of the triangle formed by the line passing through the points...

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  6. If a straight line perpendicular to 2x-3y+7=0 forms a triangle with th...

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  7. The equation of a straight line, perpendicular to 3x-4y=6 and forming ...

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  8. The equation of the line whilch is 10 units from the origin and the no...

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  9. A straight line makes an angle (pi)/3 with positive direction of x-axi...

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  10. Normal form of the line x+y+sqrt(2)=0 is

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  11. Symmetric form of the line through (-2,0) having slope (-1)/(sqrt(3) i...

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  12. The perpendicular distance from origin to the line x/(p sec alpha)+y/(...

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  13. If p is the perpendicular distance from the origin to the straight lin...

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  14. The distance between the parallel lines 3x+4y+3=0,6x+8y+11=0 is

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  15. If 2x+3y+4=0, lamda x +ky+2=0 are identical lines then 3lamda-2k=

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  16. The line segment joining the points (1, 2) and (k, 1) is divided by t...

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  17. If the line 3x+4y=8 is denoted by L, then the points (3, -5), (-5, 2)

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  18. If the points (1, 2) and (3, 4) were to be on the same side of the li...

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  19. If A(2, -1) and B(6, 5) are two points the ratio in which the foot of ...

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  20. The equation of the line passing through the point of intersection of ...

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