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Showing posts with the label Co-ordinate Geometry

Find the equation of the line passing through the point of intersection of 4x-3y+2=0 and 6x+5y+6=0 and the point of intersection of lines 4x-3y-17=0 and 2x+3y+5=0

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Find the equation of the line making an angle of 45° with positive x-axis and at a distance 2√2 from the origin.

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If the points A(1,2), B(4,0), C(3.5) are the vertices of a triangle ABC. Find the equation of the line passing through the midpoints of AB and AC.

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Line x=5 and y=4 form a rectangle with co-ordinate axes. Find the equation of the diagonals.

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Find the equation of the straight line passing through the origin and the point of intersection of the lines x+2y=7 and x-y=4.

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Find the value of k so that PQ will be parallel to RS where P(2,4), Q(3,6), R(8, 1) and S(10, k).

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The side AB of an equilateral triangle ABC is parallel to x-axis. Find the slopes of all sides.

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The point P divides the segment AB joining points A(2, 1) and B(-3,6) in the ration 2:3. Does P lie on the line x-5y+15=0. Justify.

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The line x-6y+11=0 bisects the segment joining (8, -1) and (0, k), find the value of k.

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Point (m, 2m-1) lies on the line 3x/5-2y/3 = -1, find m.

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