Triangle properties Practice Questions - NDA Mathematics Question Bank

Question 1 of 10 Authentic UPSC NDA Question

Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the triangle, then what is p(p − 2a) tan(A/2) equal to?

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Question 2 of 10 Authentic UPSC NDA Question

In a triangle ABC,What is the area of the triangle if a = 6 cm?

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Question 3 of 10 Authentic UPSC NDA Question

In a triangle ABC, A= 75° and B = 45°. What is 2a – b equal to?

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Question 4 of 10 Authentic UPSC NDA Question

Direction for Questions (16-17): Consider the following for the two (02) times that follow:

In a triangle ABC, two sides BC and CA are in the ratio 2: 1, and their opposite corresponding angles are in the ratio 3: 1.

One of the angles of the triangle is

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Question 5 of 10 Authentic UPSC NDA Question

Direction for Questions (16-17): Consider the following for the two (02) times that follow:

In a triangle ABC, two sides BC and CA are in the ratio 2: 1, and their opposite corresponding angles are in the ratio 3: 1.

Consider the following statements:

I. The triangle is right-angled.

II. One of the sides of the triangle is 3 times the other.

III. The angles A, C and B of the triangle are in AP.

Which of the statements give above is/are correct?

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Question 6 of 10 Authentic UPSC NDA Question

Direction for Questions (46-48): Consider the following for the three (03) items that follow: The sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm.

Consider the following statements:

I. The triangle is an obtuse-angled triangle.

II. The sum of acute angles of the triangle is also acute.

Which of the statements given above is/are correct?

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Question 7 of 10 Authentic UPSC NDA Question

Direction for Questions (46-48): Consider the following for the three (03) items that follow: The sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm.

What is Angle B equal to?

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Question 8 of 10 Authentic UPSC NDA Question

Direction for Questions (46-48): Consider the following for the three (03) items that follow: The sides of a triangle ABC are AB = 3 cm, BC = 5 cm and CA = 7 cm.

What is the area of the area of the triangle?

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Question 9 of 10 Authentic UPSC NDA Question

Direction for Questions (113-114): Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB + AC = 3 units.

What is Angle A equal to if the area of the triangle is maximum?

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Question 10 of 10 Authentic UPSC NDA Question

Direction for Questions (113-114): Consider the following for the two (02) items that follow: Let ABC be a triangle right-angled at B and AB + AC = 3 units.

What is the maximum area of the triangle?

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Triangle properties Questions