9th Maths-II, Ch-3:Basic Concepts in Geometry

 9th Maths-II, Ch-3:Basic Concepts in Geometry

ABACulUS Coaching Classes

Question paper: 

Question 1:

The co-ordinate of point P on a number line is -7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.

Question 2:

Answer the following sub-questions.

(i) If A - B - C and d(A,C) = 17, d(B,C) = 6.5 then d(A,B) = ? 

(ii) If P - Q - R and d(P,Q) = 3.4, d(Q,R)= 5.7 then d(P,R) = ?

Question 3:

From the information given below, find which of the point is between the other two. If the points are not collinear, state so.

(i) d(P,R)= 7, d(P,Q)= 10, d(Q,R)= 3

(ii) d(R,S)= 8, d(S,T)= 6, d(R,T)= 4

(iii) d(A,B)= 16, d(C,A)= 9, d(B,C)= 7

(iv) d(L,M)= 11, d(M,N)= 12, d(N,L)=8

(v) d(D,E) = 5, d(E,F) = 8, d(D,F) = 6

Question 4:

Write the converse of each of the following statements.

(i) If the sum of measures of angles in a figure is 180°, then the figure is a triangle.

(ii) If the sum of measures of two angles is 90° then they are complement of each other.

(iii) If the corresponding angles formed by a transversal of two lines are congruent then the two lines are parallel.

(iv) If the sum of the digits of a number is divisible by 3 then the number is divisible by 3.

Question 5:

Select the correct alternative from the answers of the questions given below.

(i) How many mid points does a segment have?

(A) only one (B) two (C) three (D) many

(ii) How many points are there in the intersection of two distinct lines?

(A) infinite (B) two (C) one (D) not a single

(ii) How many lines are determined by three distinct points?

(A) two (B) three (C) one or three (D) six

(iv) Find d(A, B), if coordinates of A and B are - 2 and 5 respectively.

(A)-2 (B) 5 (C) 7 (D) 3

(v) 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