The equation of the bisectors of the angle between the co-ordinate axes are ______________

(a)

x+y=0

(b)

x-y=0

(c)

x\(\pm\)y=0

(d)

x=0

The lines ax + y + 1 = 0, x + by + 1 = 0 and x + y + c = 0(a ≠ b ≠ c ≠ 1) are concurrent, then the value of \(\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=\) ______________

(a)

-1

(b)

1

(c)

0

(d)

abc

Which one of the following statements is false?

(a)

The image of a point \((\alpha\beta)\) about x-axis \((\alpha,-\beta)\)

(b)

The image of the line ax+by+c=0 about x-axis is ax-by+c=0

(c)

The image of a point \((\alpha,\beta)\) about y-axis \((-\alpha,\beta)\)

(d)

The image of the line ax+by+c=0 about y-axis is ax-by+c=0

If h² = ab, then the lines represented by ax²+ 2hx + by² = 0 are ______________

(a)

parallel

(b)

perpendicular

(c)

coincident

(d)

None

The equation x²+ kxy + y²- 5x - 7y + 6 = 0 represents a pair of straight lines then k = ______________

(a)

\(\frac{5}{3}\)

(b)

\(\frac{10}{3}\)

(c)

\(\frac{3}{2}\)

(d)

\(\frac{3}{10}\)