If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19cm and AC = 22cm then the length of BC is

Correct Answer Is : 20.5 cm

Solution Is :

Correct Answer Is : 40°

Solution Is :

In a Δ ABC, AD, BE and CF are three medians. The perimeter of Δ ABC, is always

a)
b)
c)
d) (AD+CF+BE)

Correct Answer Is :

Solution Is :

In a Δ ABC,D and E are two points on AB and AC respectively such that DE ll BC, DE bisects the Δ ABC in two equal areas. Then the ratio DB : AB is

Correct Answer Is : (√2-1):√2

Solution Is :

The angle of elevation of a ladder leaning against a house is 60° and the foot of the ladder is 6.5 metres from the house. The length of the ladder is

Correct Answer Is : 13 metres

Solution Is :

The two banks of a canal are straight and parallel. A,B,C are three person of Whom A stands on one bank and B and C on the opposite bank find the angle ABC is 30 degree While c find that the angle While c find that the angle ACB 60 degree ,If B and C are 100 meters apart, the breadth of cancel is

Correct Answer Is : 25√3 meters

Solution Is :

If sin^4+cos^4θ=2 sin²θcos²,θ is an acute angle then the value of tanθ is

Correct Answer Is : 1

Solution Is :

There are 7 pentagons and heXagons in a chart. If the total number of sides is 38 then the number of pentagons is

Correct Answer Is : 4

Solution Is : There are four pentagons and three heXagons. 4 X 5 + 3 X 6 = 20 + 18 = 38.

G is the centroid of ?ABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9cm and 12cm respectively, then the length of AB (in cm) is?

Correct Answer Is : 10

Solution Is : Given AD = 9cm. BE=12cm.
Here AD and BE intersect at G. Therefore
AGB=90°.
AG =(2/3)*AD = (2/3)*9 = 6cm.
GB = (2/3) *BE = (2/3)*12 =8cm.

If the number of vertices, edges and faces of a rectangular parallelepiped are denoted by v, e and f respectively, the value of (v-e+f) is

Correct Answer Is : 2

Solution Is : The value of = v - e + f
= 8 - 12 + 6 = 2.