NDA 2018 Paper 2 | Properties of Triangles Question 5 | Mathematics

What is the area of the triangle with vertices $$\left( {{x_1},{1 \over {{x_1}}}} \right),\left( {{x_2},{1 \over {{x_2}}}} \right),\left( {{x_3},{1 \over {{x_3}}}} \right)$$ ?

$$\left| {({x_1} - {x_2})({x_2} - {x_3})({x_3} - {x_1})} \right|$$

$$\left| {{{({x_1} - {x_2})({x_2} - {x_3})({x_3} - {x_1})} \over {{x_1}{x_2}{x_3}}}} \right|$$

$$\left| {{{({x_1} - {x_2})({x_2} - {x_3})({x_3} - {x_1})} \over {2{x_1}{x_2}{x_3}}}} \right|$$

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

In a $$\Delta$$ABC, if a = 2, b = 3 and $$\sin A = {2 \over 3}$$, then what is $$\angle$$B equal to?

$${\pi \over 4}$$

$${\pi \over 2}$$

$${\pi \over 3}$$

$${\pi \over 6}$$

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If the angles of a triangle ABC are in AP and b : c = $${\sqrt 3 }$$ : $${\sqrt 2 }$$, then what is the measure of angle A ?

30$$^\circ$$

45$$^\circ$$

60$$^\circ$$

75$$^\circ$$

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If the angles of a triangle ABC are in the ratio 1 : 2 : 3, then the corresponding sides are in the ratio

1 : 2 : 3

3 : 2 : 1

1 : $$\sqrt 3 $$ : 2

1 : $$\sqrt 3 $$ : $$\sqrt 2 $$

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