1
COMEDK 2023 Evening Shift
+1
-0

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

A
$$\sqrt{\frac{x^3}{8}}$$
B
$$\pi x^2$$
C
$$\frac{3}{2} x^2$$
D
$$\frac{1}{2} x^2$$
2
COMEDK 2020
+1
-0

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

A
$$(-5/2,3/4)$$
B
$$(5/2,3/4)$$
C
$$(0,0)$$
D
$$(-5,3/2)$$
3
COMEDK 2020
+1
-0

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

A
5 sq cm
B
100 $$\pi$$ sq cm
C
$$\frac{100\pi}{3}$$ sq cm
D
25 sq cm
4
COMEDK 2020
+1
-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

A
$$\left( {{{19} \over 2},6} \right)$$
B
$$\left( {{9 \over 2},4} \right)$$
C
$$\left( {8,{{13} \over 2}} \right)$$
D
$$\left( {{{11} \over 2},{{11} \over 2}} \right)$$
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