English Medium कक्षा ९ - CBSE Question Bank Solutions

In below fig., PSDA is a parallelogram in which PQ = QR = RS and AP || BQ || CR. Prove
that ar (Δ PQE) = ar (ΔCFD).

In the below fig. O is the centre of the circle. If ∠APB = 50°, find ∠AOB and ∠OAB.

In the fig below, it is given that O is the centre of the circle and ∠AOC = 150°. Find
∠ABC.

D is the mid-point of side BC of ΔABC and E is the mid-point of BD. if O is the mid-point
of AE, prove that ar (ΔBOE) = `1/8` ar (Δ ABC).

In the below fig. X and Y are the mid-points of AC and AB respectively, QP || BC and
CYQ and BXP are straight lines. Prove that ar (Δ ABP) = ar (ΔACQ).

In Fig. 10.25, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD. 

Determine the measure of each of the equal angles of a right-angled isosceles triangle.  

OR
ABC is a right-angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.

AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB. 

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.

What do you understand by the word “statistics” in
(i) Singular form
(ii) Plural form?

Describe some fundamental characteristics of statistics.

What is primary data?

What secondary data?

Which of the two – the primary or the secondary data – is more reliable and why?

Explain the meaning of the term Variable.

Explain the meaning of the term Class-integral.

Explain the meaning of the term Class-size.

Explain the meaning of the term Class-mark.

Explain the meaning of the term Class limits.

Explain the meaning of the term Frequency.