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Find the direction in which a straight l...

Find the direction in which a straight line must be drawn through the point (-1,2) so that its point of intersection with the line x+y=4 may be at a distance of 3 units from this point.

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CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. The perpendicular from the origin to a line meets it at the point (2...

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  2. The line x/3 +y/4=1 meets y-and x-axis at A and B, respectively. A squ...

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

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  4. The centroid of an equilateral triangle is (0, 0). If two vertices of ...

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  5. Two fixed point A and B are taken on the cordinate axes such that OA =...

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

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  7. Find the equation of the straight line which passes through the origin...

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  8. The equation of a straight line passing through the point (2, 3) and ...

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  9. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

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  10. The equation of the lines on which the perpendicular from the origin m...

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  11. Line L has intercepts a and b on the coordinate axes. When the axes ar...

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  12. A line intersects the straight lines 5x-y-4=0 and 3x-4y-4=0 at A and B...

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  13. A line L is a drawn from P(4,3) to meet the lines L-1a n dL2 given by ...

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  14. A straight line through the point A (3,4) is such that its intercept b...

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  15. Two straight line u=0 and v=0 pass through the origin and the angle be...

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  16. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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  17. Let u=a x+b y+a ^3sqrt(b)=0,v=b x-a y+b^3sqrt(a)=0,a ,b in R , be two...

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  18. If the foot of the perpendicular from the origin to a straight line is...

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  19. Two sides of a triangle are parallel to the coordinate axes. If the ...

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  20. The diagonals A C and B D of a rhombus intersect at (5,6)dot If A=(-3,...

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