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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.

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Let the equation of the line having equal intercepts on the axes be `x/a+y/a=1`
`x+y=a`....(1) On solving equation `4x+7y−3=0` and` 2x−3y+1=0 `we obtain `x= 1/13` ...
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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.

Find the equation of a line passing through the point of intersection of the lines 5x+y-3=0 and x+3y+1=0 and made equal intercept from the co-ordinates axes.

Find the equation of the line joining the point (3,5) to the point of intersection of the lines 4x+y-1=0\ a n d\ 7x-3y-35=0

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

Find the equation of a line passing through the point of intersection of the lines x+y=4 and 2x-3y-1=0 and parallel to a line whose intercepts on the axes are 4 and 6 units.

Find the equations of the straight lines passing through the point of intersection of the lines x+3y+4=0 and 3x+y+4=0 and equally inclined to the axes.

Find the equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0 which cuts off equal intercepts on the axes.

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x-7y+5=0\ a n d\ 3x+y=0.

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x-7y+5=0\ a n d\ 3x+y=0.

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NCERT ENGLISH-STRAIGHT LINES-MISCELLANEOUS EXERCISE
  1. A ray of light passing through the point (1, 2) reflects on the x–axi...

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

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  3. The hypotenuse f a right isosceles triangle has its ends at the points...

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  4. In what ratio, the line joining (1, 1)and (5, 7)is divided by the line...

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  5. Find the distance of the line 4x+7y+5=0 from the point (1,""""2) al...

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  6. Find the conditions that the straight lines y=m1x+c1, y=m2x+c2a n d\ y...

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  7. Find the equation of the lines through the point (3, 2) which make an...

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  8. Find the equation of the line passing through the point of intersectio...

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  9. Show that the equation of the straight line through the origin angle v...

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  10. Find the image of the point (3,8) with respect to the line x+3y=7 assu...

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  11. If the lines y = 3x +1 and 2y = x +3 are equally inclined to the line ...

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  12. Find the equation of a line drawn perpendicular to the line x/4+y/6...

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  13. Find the equation of the line parallel to y-axis and drawn through the...

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  14. Find perpendicular distance from the origin of the line joining the p...

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  15. What are the points on y-axis whose distance from the line x/3+y/4=1\ ...

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  16. Find the equations of the lines, which cut-off intercepts on the axes ...

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  17. Find the values of theta and p, if the equation xcostheta+ysintheta...

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  18. Find the values of k for which the line (k-3)x-(4-k^2) y+k^2-7k+6=0 is...

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  19. Find the value of p so that the three lines 3x + y + 2 = 0, p x + 2 y...

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  20. Find the area of the triangle formed by the lines y-x=0,x+y=0and x-k=0...

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