Test Details

Trigonometry

Identities and Height and distance

Jan 28, 10:30 AM

40 minutes

Jan 28, 11:10 AM

30.0 marks

MCQ

20 questions

Abhishek Kumar

Teacher at Xavier's English school

Class Details

Maths 2021-22

Class XC Maths

Maths 2021-22

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Question Text

Question 1 :
{tex}{ cot }^{ 2 }\theta -\frac { 1 }{ { sin }^{ 2 }\theta } {/tex} is equal to

Question 2 :
If the length of the shadow of a tower is √3 times that of its height, then the angle of elevation of the sun is

Question 3 :
(cos θ + sin θ)2 + (cos θ – sin θ)2 is equal to

Question 4 :
A ladder 14 m long rests against a wall. If the foot of the ladder is 7 m from the wall, then the angle of elevation is

Question 5 :
{tex}\frac { { tan }^{ 2 }\theta }{ 1+{ tan }^{ 2 }\theta } {/tex} is equal to

Question 6 :
If the angle of depression of an object from a 75 m high tower is 30°, then the distance of the object from the tower is

Question 7 :
(sec A + tan A) (1 – sin A) is equal to

Question 8 :
If a kite is flying at a height of 40 √3 metres from the level-ground, attached to a string inclined at 60° to the horizontal, then the length of the string is

Question 9 :
(sec2 θ – 1) (1 – cosec2 θ) is equal to

Question 10 :
In ∆ABC, ∠A = 30° and ∠B = 90°. If AC = 8 cm, then its area is

Question 11 :
In the given figure, O is the centre of the circle. If ∠ABC = 20°, then ∠AOC is equal to <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e69819305523f23291f"/>

Question 12 :
If in triangles ABC and DEF,{tex}\frac { AB }{ DE } =\frac { BC }{ FD } {/tex} , then they will be similar when

Question 13 :
If in two triangles ABC and PQR, {tex}\frac { AB }{ QR } =\frac { BC }{ PR } =\frac { CA }{ PQ } {/tex} then

Question 14 :
If the areas of two similar triangles are in the ratio 4 : 9, then their corresponding sides are in the ratio

Question 15 :
In the given figure, AB is a diameter of the circle. If AC = BC, then ∠CAB is equal to <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6a6150ce6eb5a146ea"/>

Question 16 :
In the given figure, O is the centre of a circle. If the length of chord PQ is equal to the radius of the circle, then ∠PRQ is <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e6e819305523f232929"/>

Question 17 :
If ∆PQR ~ ∆ABC, PQ = 6 cm, AB = 8 cm and perimeter of ∆ABC is 36 cm, then perimeter of ∆PQR is

Question 18 :
If ∆ABC ~ ∆QRP, {tex}\frac { area\quad of\quad \Delta ABC }{ area\quad of\quad \Delta PQR } = \frac {9}{4} {/tex}, AB = 18 cm and BC = 15 cm, then the length of PR is equal to

Question 19 :
In the given figure, if sides PQ, QR, RS and SP of a quadrilateral PQRS touch a circle at points A, B, C and D respectively, then PD + BQ is equal to <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%2010%20/5ef19e7c6150ce6eb5a1470c"/>

Question 20 :
From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

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