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Find the equation of the line through the point of intersection of, the lines `x-3y + 1 = 0` and `2x + 5y-9-0` and whose distance from the origin is `sqrt5`

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RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. Prove that the family of lines represented by x(1+lambda)+y(2-lambda)+...

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  2. Find the equation of the straight line passing through the point of in...

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  3. Find the equation of the line through the point of intersection of, th...

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  4. Write an equation representing a pair of lines through the point (a , ...

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  5. Write the coordinates of the orthocentre of the triangle formed by the...

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  6. If the centroid of a triangle formed by the points (0,0), (costheta, s...

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  7. Write the value of theta in (0,\ pi/2) for which area of the triangle ...

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  8. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

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  9. Write the coordinates of the orthocentre of the triangle formed by the...

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  10. If the lines x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0 are concurrent,...

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  11. Write the area of the triangle formed by the coordinate axes and the ...

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  12. Write the coordinates of the image of the point (3,8) in the lines x+3...

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  13. Write the integral values of m for which the x-coordinates of the poin...

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  14. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

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  15. If a , b , c are in G.P. write the area of the triangle formed by the ...

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  16. Write the locus of a point the sum of whose distances from the coor...

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  17. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

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  18. Find the locus of the mid points of the portion of the lines xsintheta...

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  19. L is a variable line such that the algebraic sum of the distances of ...

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  20. The acute angle between the medians drawn from the acute angles of a r...

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