What is the equation of the straight line which passes through the point of intersection of the straight lines x + 2y=5 and 3x + 7y = 17 and is perpendicular to the straight line 3x + 4y = 10 ?
4x + 3y + 2 = 0
4x - y + 2 = 0
4x - 3y - 2 = 0
4x - 3y + 2 = 0
If (a, b) is at unit distance from the line 8x + 6y + 1 = 0, then which of the following conditions are correct ?
1. 3a - 4b - 4 = 0
2. 8a + 6b + 11 = 0
3. 8a + 6b - 9 = 0
Select the correct answer using the code given below :
1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3
A straight line cuts off an intercept of 2 units on the positive direction of x-axis and passes through the point ( - 3, 5). What is the foot of the perpendicular drawn from the point (3, 3) on this line
(1, 3)
(2, 0)
(0, 2)
(1, 1)
D.
(1, 1)
The given line passes through ( - 3, 5) and (2, 0). Its equation is
If the point (x, y, - 3), (2, 0, - 1) and (4, 2, 3) lie on a straight line, then what are the values of x and y respectively ?
1, - 1
- 1, 1
0, 2
3, 4
An equilateral triangle has one vertex at (- 1, - 1) and another vertex at . The third vertex may lie on
(1, 1)
(1, - 1)
The equation ax + by + c = 0 represents a straight line
for all real numbers a, b and c
only when a ≠ 0
only when b ≠ 0
only when at least one of a and b is non-zero
A ladder 9 m long reaches a point 9 m below the top of a vertical flag staff. From the foot of the ladder, the elevation of the flag staff is 60o. What is the height of the flag staff ?
9m
10.5m
13.5m
15m
What is the area of the region enclosed between the curve y2 = 2x and the straight line y = x ?
Square units
Square units
Square units
1 Square units