A system of three linear equations in three variables is inconsistent if their planes

(a)

intersect only at a point

(b)

intersect in a line

(c)

coincides with each other

(d)

do not intersect

The solution of the system x + y − 3z = −6, −7y + 7z = 7, 3z = 9 is

(a)

x = 1, y = 2, z = 3

(b)

x = −1, y = 2, z = 3

(c)

x = −1, y = −2, z = 3

(d)

x = 1, y = -2, z = 3

If (x - 6) is the HCF of x² - 2x - 24 and x² - kx - 6 then the value of k is

(a)

3

(b)

5

(c)

6

(d)

8

\(\frac {3y - 3}{y} \div \frac {7y - 7}{3y^{2}}\) is

(a)

\(\frac {9y}{7}\)

(b)

\(\frac {9y^{2}}{(21y - 21)}\)

(c)

\(\frac {21y^2 - 42y + 21}{3y^{2}}\)

(d)

\(\frac {7(y^{2} - 2y + 1)}{y^{2}}\)

y² + \(\frac {1}{y^{2}}\) is not equal to

(a)

\(\frac {y^{2} + 1}{y^{2}}\)

(b)

\({ \left( y+\frac { 1 }{ y } \right) }^{ 2 }\)

(c)

\({ \left( y-\frac { 1 }{ y } \right) }^{ 2 }+2\)

(d)

\({ \left( y+\frac { 1 }{ y } \right) }^{ 2 }-2\)