Mathematics-Basic Geometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 19 - 23 of 42

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Question number: 19

» Mathematics » Basic Geometry

MCQ▾

Question

In the figure, PQ is a chord of a circle with center O and PT is the tangent at P such that ∠ QPT = 70°. Then, the measure of ∠ PRQ is equal to

A circle having a chord and making angle with it

A Circle Having a Chord and Making Angle With It

Find the angle PRQ by using the mathematical theorem of circles

Choices

Choice (4) Response

a.

150°

b.

120°

c.

110°

d.

135°

Question number: 20

» Mathematics » Basic Geometry

MCQ▾

Question

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is

Choices

Choice (4) Response

a.

15 cm

b.

12 cm

c.

10 cm

d.

14 cm

Question number: 21

» Mathematics » Basic Geometry

MCQ▾

Question

E and F are respectively the mid-points of the sides AB and AC of ∆ABC and the area of the quadrilateral BEFC is k times the area of ∆ ABC. The value of k is

Choices

Choice (4) Response

a.

4

b.

3

c.

Equation

d.

Equation

Question number: 22

» Mathematics » Basic Geometry

MCQ▾

Question

The encircle of a ∆ABC touches the sides AB, BC and AC at the point P, Q and R respectively, then which of the following statements is/are correct?

I. AP + BQ + CR = PB + QC + RA

II. AP + BQ + CR = 0.5 (perimeter of ∆ABC)

III. AP + BQ + CR = 3 (AB + BC + CA)

Choices

Choice (4) Response

a.

I, II and III

b.

Only I

c.

II and III

d.

I and II

Question number: 23

» Mathematics » Basic Geometry

MCQ▾

Question

If AD, BE and CF are the medians of a ∆ABC, then the current relation between the sum of the squares of sides to the sum of the squares of median is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

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