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If the point as (4,7) and (costheta,sint...

If the point as `(4,7)` and `(costheta,sintheta)` , where `0

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If the centroid of a triangle formed by the points (0,0), (costheta, sintheta)a n d\ (sintheta, -costheta) lies on the line y=2x then write the value of t a nthetadot

The distance between the points (costheta,sintheta) and (sintheta,-costheta) is

Prove that the curves x=4 (costheta+sintheta) and y=3 (costheta-sintheta) represents an ellipse.

Simplify the following : cos theta [{:(costheta,-sintheta ),(sintheta,costheta ):}]+sintheta[{:(sintheta,costheta),(-costheta,sintheta):}]

Find the inverse of the matrix [(costheta ,sintheta) ,( -sintheta ,costheta )] .

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If x=(2sintheta)/(1+costheta+sintheta) , then prove that (1-costheta+sintheta)/(1+sintheta) is equal to x .

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

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ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise For Session 2
  1. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

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  2. Let the algebraic sum of the perpendicular distance from the points (2...

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  3. If the quadrilateral formed by the lines ax+bc+c=0. a'x+b'y+c=0, ax+by...

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  4. Prove that the area of the parallelogram formed by the lines 3x-4y+a=0...

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  5. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

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  6. The co-ordinates of a point on the line y = x where perpendicular di...

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  7. A line passes through the point (2,2) and is perpendicular to the lin...

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  8. If the point (1,2) and (34) were to be on the same side of the line 3x...

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  9. The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rh...

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  10. What are the pints on X-axis whose perpendicular distance from the ...

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  11. The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-...

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  12. Are the points (3,4) and (2,-6) on the same or opposite sides of the l...

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  13. If the point as (4,7) and (costheta,sintheta) , where 0<theta<pi , lie...

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  14. Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...

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  15. A line L is a drawn from P(4,3) to meet the lines L-1a n dL2 given by ...

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  16. The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3). Find th...

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