A curve y = memx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?
y = mx + m
y = - mx + 2m
y = m2x + 2m
y = m2x + m
A curve y = memx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?
A curve y = memx where m > 0 intersects y-axis at a point P. What is the slope of the curve at the point of intersection P ?
m
m2
2m
2m2
If 3x - 4y - 5 = 0 and 3x - 4y + 15 = 0 are the equations of a pair of opposite sides of a square, then what is the area of the square ?
4 square units
9 square units
16 square units
25 square units
If the foot of the perpendicular drawn from the point (0, k) to the line 3x – 4y – 5 = 0 is (3, 1), then what is the value of k ?
3
4
5
6
Let ABC be a triangle. If D(2, 5) and E(5, 9) are the mid-points of the AB and AC respectively, then what is the length of the side BC ?
8
10
12
14
B.
10
We know that the triangle midpoint theorem, it says that the line segment connecting the mid points of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
If the circumcentre of the triangle formed by the lines x + 2 = 0, y + 2 = 0 and kx + y + 2 = 0 is (- 1, - 1), then what is the value of k ?
- 1
- 2
1
2
The point (1, - 1) is one of the vertices of a square. If 3x + 2y = 5 is the equation of one diagonal of the square, then what is the equation of the other diagonal ?
3x - 2y = 5
2x - 3y = 1
2x - 3y = 5
2x + 3y = - 1
What is the area of the region enclosed between the curve y2 = 2x and the straight line y = x ?
1
2