A line passes through the point (2, 2) and is perpendicular to the line 3x + y = 3. Its y intercept is ______.

1

(a)

1/3

(b)

5

(c)

3/4

(d)

4/3

The area of a triangle whose vertices are (3, -2), (5, 6) and (-2, -5) is ______.

1

(a)

15 sq. units

(b)

16 sq. units

(c)

17 sq. units

(d)

18 sq. units

If p be the length of the perpendicular from the origin to the line \({x\over a}+{y\over b}=1\) then ______.

1

(a)

\({1\over p^2}=a^2 + b^2\)

(b)

\({1\over p^2}={1\over a^2} +{1\over b^2}\)

(c)

p² = a² + b²

(d)

none of these

The angle between the lines 3x - 2y + 5 = 0 and 2x + 3y - 7 = 0 is ______.

1

(a)

45°

(b)

60°

(c)

30°

(d)

90°

The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance between its circumcentre and centriod is ______.

1

(a)

√3

(b)

2√3

(c)

√2

(d)

none of these