# 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

### 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.

d.

## 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.

b.

c.

d.

Question does not provide sufficient data or is vague

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