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

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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Let the lines 4x-3y+10=0 and 4x-3y-30=0 make equal intercepts of 6 units with a circle (C ) whose centre lies on 2x+y=0 , then the equation of the circle C is

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Prove that the three lines 2x-y-5=0, 3x-y-6=0 and 4x-y-7=0 meet in a point.

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Show that the lines 2x+3y + 11 =0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2) + y^(2) + 4x+ 6y +12 = 0

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The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L_1: x+2y+1=0 and L_2dot Then equation of L_2 cannot be 2x+y+1=0 2x-y+3=0 2x+y=0 (d) 3x-2y+2=0

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. Consider two lines L1a n dL2 given by x-y=0 and x+y=0 , respectively, ...

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

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

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

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  5. Show that if any line through the variable point A(k+1,2k) meets the l...

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  6. The incident ray is along the line 3x-4y-3=0 and the reflected ray is ...

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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. about to only mathematics

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

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  10. The vertices Ba n dC of a triangle A B C lie on the lines 3y=4xa n dy=...

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

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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+12 y+9=0, find the equation of...

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  15. A straight line segment of length/moves with its ends on two mutually ...

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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 ...

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  18. In triangleABC, vertex A is (1, 2). If the internal angle bisector of ...

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  19. The equation of the line which bisects the obtuse angle between the li...

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  20. If the line ax+ by =1 passes through the point of intersection of y...

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