|
In the given figure, two chords AB and CD intersect each other at the point P. Prove that:
|
|
1
|
1026
|
March 30, 2019
|
|
Prove that the sum of the squares of the diagonals of a parallelogram
|
|
1
|
2502
|
March 30, 2019
|
|
In the given figure, Ad is a median of a triangle ABC and AM ⊥ BC. Prove that
|
|
1
|
503
|
March 30, 2019
|
|
In the given figure, ABC is a triangle in which ∠ABC 90° and AD ⊥ CB
|
|
1
|
629
|
March 30, 2019
|
|
In the given figure, ABc is triangle in which ∠ABC > 90° and AD ⊥ CB
|
|
1
|
597
|
March 30, 2019
|
|
In the given figure, D is a point on hypotenuse AC of ∆ABC, DM ⊥ BC,
|
|
1
|
1869
|
March 30, 2019
|
|
In the given figure, PS is the bisector of ∠QPR of ∆PQR
|
|
1
|
1266
|
March 30, 2019
|
|
Tick the correct answer and justify : In ∆ABC, AB = 6\sqrt { 3 } cm,
|
|
1
|
1035
|
March 30, 2019
|
|
In an equilateral triangle, prove that three times the square
|
|
1
|
2264
|
March 30, 2019
|
|
In an equilateral triangle ABC, D is a point on side BC,
|
|
1
|
4318
|
March 30, 2019
|
|
The perpendicular from A on side BC of a ∆ABC intersects BC at D such that
|
|
1
|
4520
|
March 30, 2019
|
|
D and E are points on the sides CA and CB respectively of a triangle ABC
|
|
1
|
1618
|
March 30, 2019
|
|
Two poles of heights 6 m and 11m stand on a plane ground
|
|
1
|
1444
|
March 30, 2019
|
|
An airplane leaves an airport and flies due north at a speed of 1000 km per hour
|
|
1
|
1022
|
March 30, 2019
|
|
A guy wire attached to a vertical pole of height 18 m is 24 m long
|
|
1
|
1769
|
March 30, 2019
|
|
A ladder 10 m long reaches a window 8 m above the ground
|
|
1
|
1562
|
March 30, 2019
|
|
In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC
|
|
1
|
2360
|
March 30, 2019
|
|
Prove that the sum of the squares of the sides of a rhombus is equal to the sum
|
|
1
|
1201
|
March 30, 2019
|
|
ABC is an equilateral triangle of side la. Find each of its altitudes
|
|
1
|
1202
|
March 30, 2019
|
|
ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, Prove that ABC is a right triangle
|
|
1
|
1460
|
March 30, 2019
|
|
ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2
|
|
1
|
2682
|
March 30, 2019
|
|
In the given figure, ABD is a triangle right angled at A and AC i. BD. Show that
|
|
1
|
1077
|
March 30, 2019
|
|
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR
|
|
1
|
3989
|
March 30, 2019
|
|
Sides of triangles are given below. Determine which of them are right triangles
|
|
1
|
1091
|
March 30, 2019
|
|
Tick the correct answer and justify (i) ABC and BDE are two equilateral triangles
|
|
1
|
585
|
March 30, 2019
|
|
Prove that the area of an equilateral triangle described on one side of a square
|
|
1
|
1440
|
March 30, 2019
|
|
Prove that the ratio of the areas of two similar triangles is equal
|
|
1
|
1843
|
March 30, 2019
|
|
D, E and F are respectively the mid-points of sides AB, BC and CA of ∆ABC
|
|
1
|
2121
|
March 30, 2019
|
|
If the areas of two similar triangles are equal, prove that they are congruent
|
|
1
|
1003
|
March 30, 2019
|
|
In the given figure, ABC and DBC are two triangles on the same base BC
|
|
1
|
1717
|
March 30, 2019
|