Find the ratio in which the line segment joining the points (-3, 10) and (6,-8) is internally divided by (-1, 6) ____________

(a)

7:2

(b)

3:4

(c)

2:7

(d)

5:3

If the mid-point of the line segment joining \(A\left( \frac { x }{ 2 } ,\frac { y+1 }{ 2 } \right) \) and B(x + 1, y-3) is C(5, -2) then find the values of x, y ____________

(a)

(6, -1)

(b)

(-6, 1)

(c)

(-2, 1)

(d)

(3, 5)

A line passing through the point (2, 2) and the axes enclose an area ∝. The intercept on the axes made by the line are given by the roots of ____________

(a)

x²-2-∝x+∝ = 0

(b)

x²+2∝x+∝ = 0

(c)

x²-∝x+2∝ = 0

(d)

none of these

In a right angle triangle, right angled at B, if the side BC is parallel to x axis, then the slope of AB is ___________

(a)

\(\sqrt { 3 } \)

(b)

\(\frac { 1 }{ \sqrt { 3 } } \)

(c)

1

(d)

not defined

The lines y = 5x - 3, y = 2x + 9 intersect at A. The coordinates of A are ___________

(a)

(2, 7)

(b)

(2, 3)

(c)

(4, 17)

(d)

(-4, 23)