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A line L is a drawn from P(4,3) to meet ...

A line `L` is a drawn from `P(4,3)` to meet the lines `L-1a n dL_2` given by `3x+4y+5=0` and `3x+4y+15=0` at points `Aa n dB` , respectively. From `A` , a line perpendicular to `L` is drawn meeting the line `L_2` at `A_1dot` Similarly, from point `B_1dot` Thus, a parallelogram `AA_1B B_1` is formed. Then the equation of `L` so that the area of the parallelogram `AA_1B B_1` is the least is (a) `x-7y+17=0` (b) `7x+y+31=0` (c) `x-7y-17=0` (d) `x+7y-31=0`

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`7x+y-31=0`
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ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise For Session 2
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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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