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A person standing at the junction (cross...

A person standing at the junction (crossing) of two straight paths represented by the equations 2x-3y+4= 0 and 3x + 4y-5=0 wants to reach the path whose equation is 6x – 7y+8=0 in the least time. Find equation of the path that he should follow.

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The correct Answer is:
119x + 102y - 125 = 0
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A person standing at a junction (crossing) of two straight paths represented by the equations 2x-3y+4=0 and 3x+4y-5=0 seek to reach the path whose equation is 6x-7y+8=0 in the least times. Find the equation of the path that he should follow.

Find the point of intersection of the pair of straight lines represented by the equation 6x^2+5x y-21 y^2+13 x+38 y-5=0.

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Find the combined equation of the straight lines whose separate equations are x-2y-3=0 and x+y+5=0

Find the equations of the bisector of the acute angle between the lines 3x + 4y + 2 = 0 and 5x + 12y - 5 = 0 .

Find the equation of the straight line passing through the intersection of the lines x-2y=1 and x+3y=2 and parallel to 3x+4y=0.

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NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
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  2. The incentre of the triangle ABC where A(-36, 7) B (20,7) and C (0,-8...

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  3. The foot of the perpendicular from the point (3,4) on the line 3x – 4...

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  4. The equation of the base BC of an equilateral triangle ABC is x+y= 2 ...

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  5. The product of the perpendiculars from (-1,2) to the pair of lines ...

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  6. The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...

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  7. The four lines 6x^(2) – 5xy - 6y^(2) + x+5y–1=0 and 6x^(2) – 5xy -6y^...

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  8. The foot of perpendicular from (-2, 3) to the line 2x - y - 3 = 0 is

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  9. If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concur...

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  10. The centroid of a triangle formed by the points (0,0), (cos theta, si...

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  11. The orthocentre of the triangle formed by (8,0) and (4, 6) with the o...

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  12. If xy - 4x + 3y - lambda=0 represents the asymptotes of xy - 4x + 3y ...

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  13. The inclination of the straight line passing through the point (-3, 6...

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  14. A point moves such that the area of the triangle formed by it with th...

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  15. The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of t...

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  16. The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda...

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  17. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

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  18. Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is

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  19. If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair o...

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  20. The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

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  21. Distance between the pair of lines represented by the equation x^(2)–...

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