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Find the equation of the straight line which cuts off intercept on X-axis which is twice that on Y-axis and is at a unit distance from the origin.

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To find the equation of the straight line that cuts off intercepts on the x-axis which are twice that on the y-axis and is at a unit distance from the origin, we can follow these steps: ### Step 1: Define the intercepts Let the y-intercept be \( a \). According to the problem, the x-intercept will be \( 2a \) (since it is given that the x-intercept is twice that of the y-intercept). ### Step 2: Write the equation of the line in intercept form The intercept form of the equation of a line is given by: \[ ...
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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
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  2. Find the equation of the straight line passing through the point of ...

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  3. Find the equation of the straight line which cuts off intercept on ...

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

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  5. Find the equations of the lines through the point of intersection of t...

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  6. If the diagonals of the quadrilateral formed by lines l1x+m1y+n1=0, l...

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  7. Write the area of the figure formed by the lines a|x|+b|y|+c=0.

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  8. If theta is the acute angle between the lines with slopes m1 and m2 th...

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  9. A straight line L is perpendicular to the line 5x-y=1. The area of the...

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  10. Find the image of the point (-8,12) with respect to line mirror 4x+7y+...

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  11. Show that the equation of a line passing through (acos^3theta,asin^3th...

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  12. Find the equation of a straight line parallel to 2x+3y+11=0 and which ...

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  13. Find the coordinates of the foot of the perpendicular drawn from the ...

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  14. If the lines p1x+q1y=1,p2x+q2y=1a n dp3x+q3y=1, be concurrent, show th...

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  15. Prove that the medians of a triangle are concurrent and find the posit...

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  16. Show that the altitudes of a triangle are concurrent

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  17. Two sides of an isosceles triangle are given by the equations 7x-y+3=0...

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  19. Find the equations of the sides of an isosceles right angled triangle ...

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  20. A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B ...

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