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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 `x-7y+17=0` `7x+y+31=0` `x-7y-17=0` `x+7y-31=0`

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`7x+y-31=0`
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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 distances from the points (...

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  4. If the quadrilateral formed by the lines a x+b y+c=0,a^(prime)x+b^(pri...

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  5. The area of the parallelogram formed by the lines 3x-4y + 1=0, 3x-4y +...

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  6. Area of the parallelogram formed by the lines y = mx, y = mx + 1,y = n...

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

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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 , lie...

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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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