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Show that the lines 4x+y-9=0, x-2y+3=0, ...

Show that the lines 4x+y-9=0, x-2y+3=0, 5x-y-6=0 make equal intercepts on any line of slope 2

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Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .

The lines 4x+4y =1,8x -3y =2 and y=0 are-

Find the equation of the line passing through the point of intersection of the lines 4x + 7y - 3 = 0 " and " 2x - 3y + 1 = 0 that has equal intercepts on the axes.

Show that the straight lines 5x-y=6,x+5y-22=0,5x-y-32=0 and x+5y+4=0 form a square.

Show that the four lines 2x+y+1=0,2x+y+7=0,x+2y-1=0 and x+2y+5=0 form a rhombus.

A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0 and x-y-5=0 at the points B, C and D respectively. If (15/(AB))^2+(10/(AC))^2=(6/(AD))^2 find the equation of the line.

The straight lines x+y=0, 5x+y=4 and x+5y=4 form

Find the equation of a line through the intersection of the lines 2x+3y-2=0 and x-2y+1=0 and having x-intercept equal to 3.

Show that the four straight lines 5x-y=6, x+5y-22=0,5x-y-32=0and x+5y+4=0 form a square.

The equation of the line inclined at an angle of pi/4 to the x-axis ,such that the two circles x^2+y^2=4 and x^2+y^2 -10 x-14 y+65=0 intercept equal length on it, is (A) 2x-2y-3=0 (B) 2x-2y+3=0 (C) x-y+6=0 (D) x-y-6=0

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Consider two lines L(1) " and " L(2) given by x-y=0 and x+y=0, respect...

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  2. In what ratio does the line joining the points (2, 3) and (4, 1) divid...

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  3. Show that the lines 4x+y-9=0, x-2y+3=0, 5x-y-6=0 make equal intercepts...

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  4. Find the equation of the bisector of the obtuse angle between of the l...

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  5. A Line through the variable point A(1+k,2k) meets the lines 7x+y-16=0;...

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  6. The incident ray is along the line 24x+7y+5=0. Find the equation of mi...

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  7. If the line y =sqrt(3)x cuts the curve x^3+y^3+3x y+5x^2+3y^2+4x+5y-1=...

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  8. Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...

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  9. The area of a parallelogram formed by the lines a x+-b y+-c=0 is

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  10. The vertices, B and C of a triangle ABC lie on the lines 3y=4x and y=...

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  11. If each of the points (x1, 4), (-2,y1) lies on the line joining the po...

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  12. If the lines a1x+b1y+1=0,a2x+b2y+1=0 and a3x+b3y+1=0 are concurrent,...

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  13. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

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  14. For the straight lines 4x+3y-6 = 0 and 5x+12y+9 = 0, find the equation...

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  15. A straight line segment AB of length 'a' moves with its ends on the ax...

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  16. Find the foot of the perpendicular from the point (2,4) upon x+y=1.

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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 Delta ABC , vertex A is (1,2). If the internal angle bisector of an...

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  19. Find the equation of the bisector of the obtuse angle between of the l...

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  20. The line ax+by=1 passes through the point of intertsection of y=x tan ...

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