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

If the point as `(4,7)` and `(costheta,sintheta)` , where `0` <`theta` <`pi ` , lie on the same side of the line x+y-1=0, then prove that `theta` lies in the first quadrant.

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

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

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

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

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

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

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

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

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

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  11. What are the points on X-axis whose perpendicular distance from the ...

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

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

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

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

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  16. If the area of the parallelogram formed by the lines 2x - 3y + a = 0 ,...

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  17. A line L is a drawn from P(4,3) to meet the lines L1a n dL2 given by 3...

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

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