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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

A line passes through the point of intersection of the line 3x+y+1=0 and 2x-y+3=0 and makes equal intercepts with axes. Then, equation of the line is

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.

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

Find the equation of the line passing through the point of intersection of the lines 4x-7y-3=0\ a n d\ 2x-3y+1=0 that has equal intercept to axes.

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

Show that the lines 2x + 5y = 1, x - 3y = 6 and x + 5y + 2 = 0 are concurrent.

Prove that the straight lines 4x+7y=9, 5x-8y+15=0 and 9x-y+6=0 are concurrent.

Show that the lines 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0 are concurrent.

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

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. The angle between the diagonals of a quadrilateral formed by the line...

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  2. Find the equation of two straight lines which are parallel to x+7y+2=0...

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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 value of m for which the lines m x+(2m+3)y+m+6=0a n dm x+(2m+...

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  5. The sides A Ba n dA C of a triangle A B C are respectively 2x+3y=29a n...

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  6. A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0 and x-y-5=0 ...

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  7. Explain BPT Theorem

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  8. Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...

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  9. Find the distance of the point (2,3) from the line 2x-3y+9=0 measured ...

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  10. The line joining two points A(2,0) and B(3,1) is rotated about A in an...

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  11. Find the direction in which a straight line must be drawn through th...

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  12. Show that the equations of the straight lines passing through the poin...

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  13. A vertex of an equilateral triangle is (2,3) and the opposite side is...

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  14. Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0 and 2x-...

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  15. If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0 are concurrent (a!=b!=c!...

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  16. If the straight line x/a+y/b=1 passes through the line point of inters...

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  17. Find the orthocentre of the triangle the equations of whose sides are ...

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  18. Two vertices of a triangle are (3,-1)a n d(-2,3) and its orthocentre i...

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  19. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0. If t...

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  20. Find the equation of the straight line passing through the point of ...

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