Angle between Two Lines
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Angle between the lines represented by the equation is
none of these
- 3x + y + 7 = 0 but not x – 3y – 31 = 0
- 3x + y + 7 = 0 or x – 3y – 31 = 0
- Neither 3x + y + 7 nor x – 3y – 31 = 0
- x – 3y – 31 = 0 but not 3x + y + 7 = 0
If the angle between lines is represented by an equation then
Two lines passing through the point (2, 3) intersects each other at an angle of 60∘. If slope of one line is 2; Find equation of the other line.
Match the following:
[z represents a curve or collection of points in each case]
p)z¯z+a¯z+¯az+b=0, a¯a−b>0(1)straight line(q)z¯a+¯za+b=0(2)hyperbola(r)arg(z−z0)=θ(3)ellipse(s)|z−z1|+|z−z2|=a, a>|z−z2|(4)circle
P - 4, Q - 1, R - 1, S - 3
P - 3, Q - 1, R - 1, S - 2
P - 4, Q - 1, R - 4, S - 3
P - 4, Q - 1, R - 4, S - 2
The complex numbers z = x + iy which satisfy the equation | z−4iz+4i | = 1, lie on
Circle
z + = 0
z - = 0
x - axis
- (2, 1)
- (2, 2)
- (1, 2)
- (1, 3)
The triangle joining the points P(2, 7), Q(4, -1), R(-2, 6) is
Equilateral triangle
Right-angled triangle
Isosceles triangle
Scalene triangle
If r(1−m2)+m(p−q)=0, then a bisector of the angle between the lines represented by the equation px2−2rxy+qy2=0, is