I the given figure DE||AC which of the following is true.

(a)

\(x=\frac { ay }{ b+a } \)

(b)

\(x=\frac { a+b }{ ay } \)

(c)

\(x=\frac { ay }{ b-a } \)

(d)

\(\frac { x }{ y } =\frac { a }{ b } \)

In the given figure DE||BC:BD = x - 3, BA = 2x,CE = x- 2, and AC = 2x + 3, Find the value of x.

(a)

3

(b)

6

(c)

9

(d)

12

If ABC is a triangle and AD bisects A, AB = 4cm, BD = 6cm, DC = 8cm then the value of AC is ____________

(a)

\(\frac { 16 }{ 3 } cm\)

(b)

\(\frac { 32 }{ 3 } cm\)

(c)

\(\frac { 3 }{ 16 } cm\)

(d)

\(\frac { 1 }{ 2 } cm\)

A line which intersects a circle at two distinct points is called ____________

(a)

Point of contact

(b)

secant

(c)

diameter

(d)

tangent

In figure \(\angle OAB={ 60 }^{ o }\) and OA = 6cm then radius of the circle is ____________

(a)

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

(b)

2 cm

(c)

\(3\sqrt { 3 } cm\)

(d)

\(2\sqrt { 3 } cm\)