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Find the equation of a straight line with slope −2 and intersecting the x-axis at a distance of 3 units to the left of origin.
Concept: undefined >> undefined
Find the equations of the bisectors of the angles between the coordinate axes.
Concept: undefined >> undefined
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Find the equation of a line which is perpendicular to the line joining (4, 2) and (3, 5) and cuts off an intercept of length 3 on y-axis.
Concept: undefined >> undefined
Find the equation of the perpendicular to the line segment joining (4, 3) and (−1, 1) if it cuts off an intercept −3 from y-axis.
Concept: undefined >> undefined
Find the equation of the strainght line intersecting y-axis at a distance of 2 units above the origin and making an angle of 30° with the positive direction of the x-axis.
Concept: undefined >> undefined
Find the equations of the straight lines which cut off an intercept 5 from the y-axis and are equally inclined to the axes.
Concept: undefined >> undefined
Find the coordinates of the orthocentre of the triangle whose vertices are (−1, 3), (2, −1) and (0, 0).
Concept: undefined >> undefined
Show that the perpendicular bisectors of the sides of a triangle are concurrent.
Concept: undefined >> undefined
Find the equations of the altitudes of a ∆ ABC whose vertices are A (1, 4), B (−3, 2) and C (−5, −3).
Concept: undefined >> undefined
If the image of the point (2, 1) with respect to a line mirror is (5, 2), find the equation of the mirror.
Concept: undefined >> undefined
Find the equation of the right bisector of the line segment joining the points (3, 4) and (−1, 2).
Concept: undefined >> undefined
The line through (h, 3) and (4, 1) intersects the line 7x − 9y − 19 = 0 at right angle. Find the value of h.
Concept: undefined >> undefined
Find the image of the point (3, 8) with respect to the line x + 3y = 7 assuming the line to be a plane mirror.
Concept: undefined >> undefined
Find the angles between the following pair of straight lines:
3x + y + 12 = 0 and x + 2y − 1 = 0
Concept: undefined >> undefined
Find the angles between the following pair of straight lines:
3x − y + 5 = 0 and x − 3y + 1 = 0
Concept: undefined >> undefined
Find the angles between the following pair of straight lines:
3x + 4y − 7 = 0 and 4x − 3y + 5 = 0
Concept: undefined >> undefined
Find the angles between the following pair of straight lines:
x − 4y = 3 and 6x − y = 11
Concept: undefined >> undefined
Find the angles between the following pair of straight lines:
(m2 − mn) y = (mn + n2) x + n3 and (mn + m2) y = (mn − n2) x + m3.
Concept: undefined >> undefined
Find the acute angle between the lines 2x − y + 3 = 0 and x + y + 2 = 0.
Concept: undefined >> undefined
Prove that the points (2, −1), (0, 2), (2, 3) and (4, 0) are the coordinates of the vertices of a parallelogram and find the angle between its diagonals.
Concept: undefined >> undefined
