SINGHAL ACADEMY
Std.: 9 (English) Maths - II Marks: 35
Date: 05-Jul-2025 Singhal academy Time: 1:15 hr
Chapter:
Q.1 Multiple Choice Questions 5 d(A, B) = x-y
1 How many mid points does a segment have? = _____
a. Only one b. Two c. Three d. Any = -4 + 5
2 How many points are there in the intersection d(A, B) = _____
of two distinct lines? 3 If the co-ordinate of A is x and that of B is y,
a. Infinite b. Two c. One d. Not a single find d(A,B)
x = 4, y = -8
3 Which figure is formed by three non-collinear
points ? A↔x; B↔y
a. Triangle b. Star c. Square d. x=4, y = -8
Rectangle x>y
d(A, B) = _____
4 If P – Q – R and d(P,Q) = 2, d(P,R) = 10 then
= _____
find d(Q,R).
= _____
a. 12 b. 8 c. √96 d. 20
d(A, B) = _____ units
5 Find d(A,B), if co-ordinates of A and B are -2 Q.4 Answer the following (Any Two) 4
and 5 respectively. 1 On a number line, points A, B and C are such
a. -2 b. 5 c. 7 d. 3 that d(A, C) = 10, d(C, B) = 8 Find d(A, B)
Q.2 Solve the following 4 considering all possibilities.
1 Answer the questions with the help of figure. 2 Find the distance with the help of the number
Find d(P, C) line given below.
i. d(P, J)
2 Write the answer to the following questions
with reference to figure. ii. d(Q, B)
Write the intersection set of ray PQ and ray
RP.
3 Draw a labelled figure showing information in
each of the following statements and write
3 Answer the questions with the help of figure.
the antecedent and the consequent.
Find d(V, B)
Two equilateral triangles are similar.
Q.5 Solve the following 6
1 Co-ordinate of point P on a number line is -7.
4 Write converses of the following statements.
Find the co-ordinates of points on the number
The diagonals of a rectangle are congruent.
line which are at a distance of 8 units from P.
Q.3 Attempt the following (activity)(Any Two) 4
2 The following table shows points on a
1 If AB = 5 cm, BP = 2 cm and AP = 3.4 cm,
number line and their co-ordinate. Decide
compare the segments.
whether the pair of segments given below the
AB= 5 cm, BP = 2 cm, AP = 3.4 cm table are congruent or not.
5 _____ 3.4 _____ 2
∴ _____ > l(AP) > _____ Point A B C D E
2 If the co-ordinate of A is x and that of B is y,
Co-ordinate -3 5 2 -7 9
find d(A,B)
x = -4, y = -5 seg DE and seg AB
A ↔ x, B↔y Q.6 Attempt the following. (activity) 3
x = -4, y = _____ 1
x _____ y
On a number line, co-ordinates of P, Q, R are 3, Hence, d(P,Q) - d(Q,R) _____ d(Q,R)
-5 and 6 respectively. State with reason Q.7 Answer the following 9
whether the following statements are true or 1 On a number line, co-ordinates of P, Q, R are 3,
false. -5 and 6 respectively. State with reason
d(P,Q) - d(P,R) = d(Q,R) whether the following statements are true or
The co-ordinate of P is 3 false.
The co-ordinate of Q is -5 d(P,R) + d(R,Q) = d(P,Q)
The co-ordinate of R is 6 2 On a number line, co-ordinates of P, Q, R are 3,
d(P,Q) = 3 – (-5) -5 and 6 respectively. State with reason
= _____ ... (i) whether the following statements are true or
d(Q,R) = 6 – (-5) false.
=6+5 d(P,Q) + d(Q,R) = d(P,R)
= _____ ... (ii) 3 On a number line, co-ordinates of P, Q, R are 3,
d(P,R) =6–3 -5 and 6 respectively. State with reason
= _____ ... (iii) whether the following statements are true or
d(P,Q) - d(P,R) =8-3 ... (_____ false.
= _____ d(R,P) + d(P,Q) = d(R,Q)
d(Q,R) = 11 units ... (from ii)
