The inclination to the x-axis and intercept on y-axis of the line \(\sqrt {2y}=x+2\sqrt 2\) ______________

(a)

\(30^0,\sqrt 2\)

(b)

30⁰,2

(c)

\(45^0,2\sqrt 2\)

(d)

45⁰,2

The co-ordinates of the foot of the perpendicular drawn from the point (2, 3) to the line 3x - y + 4 = 0 is ______________

(a)

\((\frac{1}{10},\frac{37}{10})\)

(b)

\((\frac{-1}{10},-\frac{37}{10})\)

(c)

\((\frac{-1}{10},\frac{37}{10})\)

(d)

\((\frac{37}{10},\frac{-1}{10})\)

The image of the point (1, 2) with respect to the line y = x is ______________

(a)

(-1, -2)

(b)

(2, 1)

(c)

(2, -1)

(d)

(2, 1)

The equation of the bisectors of the angle between the lines represented by 3x²- 5xy + 4y² = 0 is ______________

(a)

3x²- 5xy - 3y² = 0

(b)

3x²+ 5xy + 4y² = 0

(c)

5x²- 2xy - 5y² = 0

(d)

5x²- 2xy + 5y² = 0

The gradient of one of the lines of ax²+ 2hxy + by² = 0 is twice that of the other, then ______________

(a)

h² = ab

(b)

h = a + b

(c)

8h² = 9ab

(d)

9h² = 8ab