1. In the following figure, AB and ED are produced to meet at C. If D ABE = 50¢X and D ACE = 30¢X , find the value of D CAD.

 

A. 15¢X

B. 16¢X

C. 18¢X

D. 20¢X

E. 25¢X

2. In the following figure, if AED and BCD are straight lines, D BAC = 40¢X and D ADB = 30¢X , find the value of D ACB.

A. 35¢X

B. 40¢X

C. 45¢X

D. 50¢X

E. 55¢X

3. In the following figure, find the value of x + y.

A. 210¢X

B. 230¢X

C. 250¢X

D. 270¢X

E. It cannot be determined.

 

4. In the following figure, AC and BD are straight lines intersect at E. If , then

A. 1 : 1

B. 1 : 2

C. 1 : 3

D. 2 : 3

E. 3 : 4

5. In the following figure, AD is a tangent to the circle at A and DCB is a straight line. Find the value of x.

A. 24¢X

B. 30¢X

C. 33¢X

D. 36¢X

E. 42¢X

6. In the following figure, AOC is a triangle with AB = 4, BC = 5 and OC = 3. Find the value of .

A. 45

B. 50

C. 55

D. 60

E. 65

7. In the following figure, AD, BE and CF are three altitudes meeting at G. Which of the following points are concyclic?

(I) C, D, G, E (II) A, E, G, F (III) B, F, E, C

A. (I) only

B. (II) only

C. (III) only

D. (I) and (II)

E. (I), (II) and (III)

8. The following figure shows the inscribed circle of D ABC with centre O. Which of the following is/are true?

(I) OD ^ BC (II) OA bisects D CAB (III) AO = CO

A. (I) only

B. (II) only

C. (III) only

D. (I) and (II)

E. (I), (II) and (III)