MEDIUM
JEE Advanced
IMPORTANT
Earn 100

In ΔABC, base BC and area of triangle 'Δ' are fixed. Locus of the centroid of ΔABC is a straight line that is

50% studentsanswered this correctly

Important Questions on Properties of Triangles, Heights and Distances

HARD
JEE Advanced
IMPORTANT
In ΔABC,A=π2,AA1 and AA2 are the median and altitude, respectively. If BAA1=A1AA2=A2AC, then sin3A3·cosA3 is equal to
MEDIUM
JEE Advanced
IMPORTANT
At a point A, the angle of elevation of a tower is such that its tangent is 512, on walking 120 m nearer the tower the tangent of the angle of elevation is 34. The height of the tower is
MEDIUM
JEE Advanced
IMPORTANT
An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff, is
HARD
JEE Advanced
IMPORTANT
A tower is observed from two stations A and B, where B is East of A at a distance of 200 m. The tower is due North of A and due West of B. The angles of elevation of the tower from A and B are complementary. The height of the tower is
MEDIUM
JEE Advanced
IMPORTANT
The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 m from its base is 45°. If the angle of elevation of the top of the complete pillar at the same point is to be 60°, then the height of the incomplete pillar is to be increased by
MEDIUM
JEE Advanced
IMPORTANT
A tree is broken by wind, its upper part touches the ground at a point 10 m from the foot of the tree and makes an angle of 45° with the ground. The entire length of the tree is
HARD
JEE Advanced
IMPORTANT
If a flagstaff 6 m high placed on the top of a tower throws a shadow of 23 m along the ground, then the angle (in degree) that the Sun makes with the ground, is
MEDIUM
JEE Advanced
IMPORTANT
The angle of elevation of the top of a tower from the top and bottom of a building of height a are 30° and 45°, respectively. If the tower and the building stand at the same level, the height of the tower is