State whether true or false

 1) Two lines perpendicular to the same line are              perpendicular to the each other.

    Ans:- False

2) If sum of two adjacent angle is 45°, then two            adjacent angles are acute angles.

    Ans:- True

3) Sum of all the exterior angles of any polygon        is always 360°.

    Ans:- True

4) Object which are exact copies of one another are     called plane objects.

    Ans:- False

5) To examine the congruence of plane figures, the     suspension method is used.

    Ans:- True

Factorise this sum (X3 - 2X2 - X + 2) ÷ (X - 2)

 Solution:-

The motion of a car is represented by the graph given here .It is a velocity-time graph

(1) Identify the type of motion from the following

(A) car is not in motion
(B) car is moving with uniform velocity
(C) car is moving with uniform acceleration
(D) None of the above

Ans:- (B) car is moving with uniform velocity

(2) What does the slope of the graph represent?(A) acceleration
(B) velocity
(C) force
(D) momentum

Ans:- (B) velocity

(3) What kind of graph do we obtain if we plot position - time graph of the car(A) Straight line parallel to X axis
(B) Straight line parallel to Y axis
(C) parabola
(D) Zig Zag curve

Ans:- Zig Zag curve

(4) What quantity do we obtain if we calculate area under the given graph?(A)displacement(B) velocity(C) acceleration(D) None of the above

Ans:- velocity

(5) From the graph, the acceleration of the car will be(A) 4m/s(B) 4m(C) 4m/s2(D) zero

Ans:- (C) 4m/s2

​Find the value of p for which the points are colinear if (7,-2),(5,1),(3,p)

 Solution:-

Find the value of p for which the points are colinear if (7,-2),(5,1),(3,p)

The degree of x2 – 5x + 2 = x3 is:​

 x2 – 5x + 2 = x3

x2 - 5x + 2 - x3 = 0

-x3 + x2 - 5x + 2 = 0

If we change the sign of these equation then,

x3 - x2 + 5x - 2 = 0

Ans:- 3  

Note: The degree is the value of greatest exponent of any expression.

A body is falling freely, the total energy of the body as it falls

 (A) Increases

(B) First decrease then increase

(C) Remains same 

(D) First increases then decreases

Ans:- (C) Remains same

The money receivable from a customer, to whom business sold goods on credit is called

 a) Creditor

 b) Debtor

 c) Wholesaler

 d) Retailer​

 Ans:- b) Debtor

Find A: C, if A:B = 7:8 and B:C = 16:21

 Solution:-

A:B = 7:8   is written as   A/B = 7/8

B:C = 16:21 is written as  B/C = 16/21

We have to find A:C = ? 

A:C is written as  A/C

A/C = A/B × B/C

A/C = 7/8 × 16/21

A/C = 2/3

A:C = 2:3

Ans:- A:C = 2:3

Add the following terms -2mm, 4 mn, - 6 mn

=  mn - 2mm + 4mn - 6mn

=  -2mm + mn (1 + 4 - 6)

=  -2mm + mn (-1)

=  -2mm - mn

Ans:-  -2mm - mn