1.
For specifying a straight line, how many geometrical parameters should be known?
2.
A triangle is formed by the lines x + y = 8, x – axis and y – axis. Find its centroid.
3.
If a, b, c are in A.P., then the straight lines ax + by + c = 0 will always pass through ____.
4.
Find the area of the triangle formed by the line 3x – 4y + 12 = 0 with the coordinate axes.
5.
The inclination of the √3 x-y+5=0 with x-axis is
6.
Equation of the line passing through (1, 2) and parallel to the line y = 3x – 1 is
7.
Equation of a straight line out of the following equations is
8.
A pair of linear equations which has a unique solution x = 2, y = –3 is
9.
The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y-intercept -4, then a possible value of k is
10.
A line cutting off intercept – 3 from the y-axis and the tangent at angle to the x axis is 3/5, equation is
11.
Slope of a line which cuts off intercepts of equal lengths on the axes is
12.
The inclination of the line x – y + 3 = 0 with the positive direction of x-axis is
13.
The equation of the line passing through (1, 2) and perpendicular to x + y + 7 = 0 is
14.
If ax+4y+3=0,bx+5y+3=0 and cx+6y+3=0 are concurrent lines, then a + c =
15.
Read the question given below
16.
If the lines ax+2y+1=0,bx+3y+1=0 and cx+4y+1=0 are concurrent lines, then a, b, c are in :
17.
The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is
18.
Read the question given below
19.
The two lines ax + by = c and a′x + b′y = c′ are perpendicular if
20.
The distance between the point (acosθ + bcosθ, 0) and (0, asinθ - bcosθ) is