Triangle and Marks

Questions:

1] when simplified is:
[Marks:1]

A. negative and irrational
B.
negative and rational
C.
positive and irrational
D.
positive and rational

2]
The value of the polynomial x2 – x – 1 at x = -1 is
[Marks:1]

A.
Zero
B.
-1
C.
-3
D.
1

3]
The remainder when x2 + 2x + 1 is divided by (x + 1) is
[Marks:1]

A.
1
B.
4
C.
-1
D.
0

4]
In fig., AOB is a straight line, the value of x is:

[Marks:1]

A.
60°
B.
20°
C.
40°
D.
30°

5]
The number of line segment determined by three given non - collinear points is:
[Marks:1]

A.
Two
B. infinitely many
C.
Four
D.
Three

6]
The area of a right triangle with base 5 m and altitude 12 m is
[Marks:1]

A.
50 m2
B.
15 m2
C.
9 m2
D.
30 m2

7]
Evaluate: 53 - 23 - 33
[Marks:1]

A.
80
B.
60
C.
120
D.
90

8]
The area of an equilateral triangle of side 14 cm is
[Marks:1]

A.

B.

C.

D.

9]
Simplify:
[Marks:2]

10]
Check whether (x + 1) is a factor of x3 + x + x2 + 1.
[Marks:2]

11]
In fig., OQ bisects AOB. OP is a ray opposite to ray OQ. Prove that POA=POB.

OR
In fig., AOC and BOC form a linear pair. If a - b = 80°, find the values of a and b.

[Marks:2]

12]

[Marks:2]

13]
The perpendicular distance of a point from the x - axis is 2 units and the perpendicular distance from the y - axis is 5 units. Write the coordinates of such a point if it lies in the:
(i) I Quadrant (ii) II Quadrant
(iii) III Quadrant (iv) IV Quadrant
[Marks:2]

14]
The volume of a cuboid is given by the algebraic expression ky2 - 6ky +8k. Find the possible expressions of the dimensions of the cuboid.
[Marks:2]

15]
Simplify the following expression:

[Marks:3]

16]
Evaluate: given that = 2.236.
OR
If , find a and b.
[Marks:3]

17]
Factorise: