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Find the equation of a straight line passing through the point (-5,4) and which cuts off an intercept fo `sqrt(2)` units between the lines x+y+1=0 and x+y-1=0

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Find the equation of a straight line passing through the point (-5,4) and which cuts off an intercept of sqrt(2) units between the lines x+y+1=0 and x+y-1=0.

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the equations of lines parallel to 3x-4y-5 = 0 at a unit distane ...

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  2. Let P ("sin" theta, "cos"theta),(0 le theta le 2pi), be apoint in a tr...

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  3. Find the equation of a straight line passing through the point (-5,4) ...

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  4. Are the points (3,4) and (2,-6) on the same or opposite sides of the l...

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  5. Consider the equation y-y1=m(x-x1) . If ma n dx1 are fixed and differe...

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  6. If the straight line a x+c y=2b , where a , b , c >0, makes a triangle...

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  7. ABCD is a square whose vertices are A(0, 0), B(2, 0), C(2, 2), and D(0...

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  8. The x-coordinates of the vertices of a square of unit area are the r...

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  9. Consider a triangle with vertices A(1,2),B(3,1), and C(-3,0)dot Find t...

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  10. If (x,y) is a variable point on the line y=2x lying between the lines ...

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  11. A rectangle has two opposite vertices at the points (1, 2) and (5,5). ...

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  12. If D , E ,a n dF are three points on the sides B C ,A C ,a n dA B of a...

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

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  14. Let the sides of a parallelogram be U=a, U=b,V=a' and V=b', where U=lx...

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

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  16. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

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  17. In a triangle A B C , side A B has equation 2x+3y=29 and side A C has ...

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  18. The fooot of the perpendicular on the line 3x+y=lambda drawn from the ...

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

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  20. The real value of a for which the value of m satisfying the equation (...

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