EASY
JEE Advanced
IMPORTANT
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A circle is inscribed in an equilateral triangle of side . The area of any square inscribed in the circle is
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Important Questions on Properties of Triangles, Heights and Distances
EASY
JEE Advanced
IMPORTANT
In a , the line joining the circumcentre to the incentre is parallel to then is equal to
MEDIUM
JEE Advanced
IMPORTANT
The exradii of a triangle and are in harmonic progression, then the sides are in
EASY
JEE Advanced
IMPORTANT
In an equilateral triangle, the inradius and the circumradius are connected by
MEDIUM
JEE Advanced
IMPORTANT
A flagstaff stands vertically on a pillar, the height of the flagstaff being double the height of the pillar. A man on the ground at a distance finds that both the pillar and the flagstaff subtend equal angles at his eyes. Then, the ratio of the height of the pillar and the distance of the man from the pillar is
HARD
JEE Advanced
IMPORTANT
A circular ring of radius is suspended horizontally from a point vertically above the centre by strings attached at equal intervals to its circumference. If the angle between two consecutive strings is then is
MEDIUM
JEE Advanced
IMPORTANT
A piece of paper in the shape of a sector of a circle of radius and of angle just covers the lateral surface of a right circular cone of vertical angle . The is
MEDIUM
JEE Advanced
IMPORTANT
The shadow of a tower standing on a level ground is long when the Sun's altitude is while it is long when the altitude is If the height of the tower is then is
HARD
JEE Advanced
IMPORTANT
A vertical lamp-post of height stands at the corner of a rectangular field. The angle of elevation of its top from the farthest corner is , while from another corner it is . The area of the field is
