The value of . for which the lines 3x + 4y = 5, 2x + 3y = 4and x + 4y = 6 meet at a point, is :
2
1
4
3
Three vertices of a parallelogram taken in order are (- 1, - 6), (2, - 5) and (7, 2). The fourth vertex is :
(1, 4)
(1, 1)
(4, 4)
(4, 1)
The orthocentre of the triangle whose vertices are (5, - 2), - 1, 2) and (1, 4), is :
A.
Let A(5, - 2), B (- 1, 2)andC (1, 4)arevertices of a triangle ABC.
Slope of line BC =
slope of line perpendicular to BC = - 1
So equation of altitude through A is
(y + 2) = - 1(x - 5)
...(i)
and slope of CA =
slope of a line perpendicular to CA =
so equation of altitude through C is
(y - 4) =
.
If the equation 2x2 + 7 xy + 3y2 - 9 x - 7y + k = 0 represents a pair of lines, then k is equal to
4
2
1
- 4
Distance between the pair of lines represented by the equation x2 - 6xy + 9y2 + 3 - 9y - 4 = 0 is:
A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm. Then angle subtended by the arc at the centre is:
50°
210°
100°
60°