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

A line is a drawn from `P(4,3)` to meet the lines `L_1 and l_2` given by `3x+4y+5=0 and 3x+4y+15=0` at points `A and B` respectively. From `A` , a line perpendicular to `L` is drawn meeting the line `L_2` at `A_1` Similarly, from point `B_1` Thus a parallelogram `AA_1 B B_1` is formed. Then the equation of `L` so that the area of the parallelogram `AA_1 B 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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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Line L has intercepts aa n db on the coordinate axes. When the axes ...

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  2. A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B...

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  3. A line is a drawn from P(4,3) to meet the lines L1 and l2 given by 3x...

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  4. A straight line through the point A (3,4) is such that its intercept b...

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  5. Two straight lines u=0a n dv=0 pass through the origin and the angle b...

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  6. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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  7. Let u-=a x+b y+a b3=0,v-=b x-a y+b a3=0,a ,b in R , be two straight l...

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  8. If the foot of the perpendicular from the origin to a straight line is...

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  9. Two sides of a triangle are parallel to the coordinate axes. If the ...

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  10. The diagonals A C and B D of a rhombus intersect at (5,6). If A=(3,2),...

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  11. A line which makes an acute angle theta with the positive direction of...

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  12. Find the values of non-negative real number h1, h2, h3, k1, k2, k3 suc...

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  13. The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 a...

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  14. If a and b are two arbitrary constants, then prove that the straight l...

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  15. Statement 1: The incenter of a triangle formed by the lines xcos(pi/...

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  16. If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the s...

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  17. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

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  18. In triangle A B C , the equation of the right bisectors of the sides A...

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  19. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  20. Show that the straight lines given by x(a+2b)+y(a+3b)=a for different ...

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