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1

JEE Main 2021 (Online) 24th February Evening Shift

MCQ (Single Correct Answer)

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-1

Out of Syllabus

Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be $$\left( {{{10} \over 3},{7 \over 3}} \right)$$. If $$\alpha$$, $$\beta$$ are the roots of the equation $$a{x^2} + bx + 1 = 0$$, then the value of $${\alpha ^2} + {\beta ^2} - \alpha \beta $$ is :

2

JEE Main 2020 (Online) 4th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If $$\angle BAC = {90^o}$$ and area$$\left( {\Delta ABC} \right) = 5\sqrt 5 $$ s units, then the abscissa of the vertex C is :

3

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centroid of this triangle is :

4

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Out of Syllabus

The angles A, B and C of a triangle ABC are in A.P. and a : b = 1 : $$\sqrt 3 $$. If c = 4 cm, then the area (in sq. cm)
of this triangle is :

Questions Asked from Properties of Triangle (MCQ (Single Correct Answer))

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