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)
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
A.
Square units
We can directly calculate the area by using the formula : if y2 = 4ax is the parabola and y = mx is the line which intersect the parabola at two points
then, the area enclosed between the two curve will be .
Then, in the given question a = ½ and m = 1 then the area enclosed will be = 2/3
Option A is correct.