COMEDK 2023 Evening Shift | Properties of Triangles Question 1 | Mathematics

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length $$x$$. The maximum area enclosed by the park is

$$ \sqrt{\frac{x^3}{8}} $$

$$ \pi x^2 $$

$$ \frac{3}{2} x^2 $$

$$ \frac{1}{2} x^2 $$

COMEDK 2020

MCQ (Single Correct Answer)

-0

The orthocentre of the triangle with vertices A(0, 0), B(0, 3/2), C($$-$$5, 0) is

$$(-5/2,3/4)$$

$$(5/2,3/4)$$

$$(0,0)$$

$$(-5,3/2)$$

COMEDK 2020

MCQ (Single Correct Answer)

-0

ABC is a triangle with $$\angle A=30^\circ$$ and BC = 10 cm. The area of the circumcircle of the triangle is

COMEDK 2020 Mathematics - Properties of Triangles Question 2 English

5 sq cm

100 $$\pi$$ sq cm

$$\frac{100\pi}{3}$$ sq cm

25 sq cm

COMEDK 2020

MCQ (Single Correct Answer)

-0

ABC is a triangle, G is the centroid, D is the mid-point of BC. If A = (2, 3) and G = (7, 5), then the point D is

$$\left( {{{19} \over 2},6} \right)$$

$$\left( {{9 \over 2},4} \right)$$

$$\left( {8,{{13} \over 2}} \right)$$

$$\left( {{{11} \over 2},{{11} \over 2}} \right)$$

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