NIMCET Properties Of Triangle Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET Properties Of Triangle PYQ

Qus : 1NIMCET PYQ 2019

If $\Delta=a^2-(b-c)^2$ , where $\Delta$ is the are of the triangle ABC, then $tanA=$

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 2NIMCET PYQ 2022

In a triangle ABC, if the tangent of half the difference of two angles is equal to one third of the tangent of half the sum of the angles, then the ratio of the sides opposite to the angles is

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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Qus : 3NIMCET PYQ 2018

In an acute-angled ΔABC the least value of secA+secB+secC is

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 4NIMCET PYQ 2017

If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in HP, then sin A, sin B, sin C are in

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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

If altitudes of a triangle are in HP then its side will be in AP because sides are inverse proportion to height as area is constant. a, b, c are sides of triangle.

a, b, c are in A.P.

sin A, sin B, sin C are in A.P.

Qus : 5NIMCET PYQ 2021

In a triangle, if the sum of two sides is x and their product is y such that (x+z)(x-z)=y, where z is the third side of the triangle , then triangle is

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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution

Qus : 6NIMCET PYQ 2021

In a triangle ABC,

$a\cos ^2\frac{C}{2}+\, c\, \, {\cos }^2\frac{A}{2}=\frac{3b}{2}$ then the sides of the triangle are in

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NIMCET Previous Year PYQNIMCET NIMCET 2021 PYQ

Solution

Qus : 7NIMCET PYQ 2017

In a triangle ABC, let angle C = π/2. If R is the inradius and R is circumradius of the triangle ABC, then 2(r + R) equals

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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

Qus : 8NIMCET PYQ 2018

In a triangle ABC, angle A=90° and D is the midpoint of AC. What is the value of

equal to?

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 9NIMCET PYQ 2017

What is the largest area of an isosceles triangle with two edges of length 3?

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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

Qus : 10NIMCET PYQ 2014

If A, B and C is three angles of a ΔABC, whose area is Δ. Let a, b and c be the sides opposite to the angles A, B and C respectively. Is

$s=\frac{a+b+c}{2}=6$ , then the product

$\frac{1}{3} s^{2} (s-a)(s-b)(s-c)$ is equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2014 PYQ

Solution

Qus : 11NIMCET PYQ 2023

The perimeter of a

$\Delta ABC$ is 6 times the arithmetic mean of the sines of its angles. If the side a is 1, then the angle A is

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 12NIMCET PYQ 2014

In ΔABC, if a = 2, b = 4 and ∠C = 60°, then A and B are respectively equal to

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NIMCET Previous Year PYQNIMCET NIMCET 2014 PYQ

Solution

Qus : 13NIMCET PYQ 2015

If the angles of a triangle are in the ratio 2 : 3 : 7, then the ratio of the sides opposite to these angles is

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NIMCET Previous Year PYQNIMCET NIMCET 2015 PYQ

Solution

Qus : 14NIMCET PYQ 2015

A harbour lies in a direction 60° South of West from a fort and at a distance 30 km from it, a ship sets out from the harbour at noon and sails due East at 10 km an hour. The time at which the ship will be 70 km from the fort is

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NIMCET Previous Year PYQNIMCET NIMCET 2015 PYQ

Solution

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