The Total solution for NCERT class 6-12
Answer 1 :
Prove that: If the diagonals of a quadrilateral bisect eachother at right angles, then it is a rhombus.
Answer 2 :
(Pythagoras's Theorem) Prove by vector method that in a rightangled triangle, the square of the hypotenuse is equal to the sum of thesquares of the other rum sides.
Answer 3 :
Prove by vector method that the sum of the squares of thediagonals of a parallelogram is equal to the sum of the squares of its sides.
Answer 4 :
Prove using vectors: The quadrilateral obtained by joiningmid-points of adjacent sides of a rectangle is a rhombus.
Answer 5 :
Prove that the diagonals of a rhombus are perpendicularbisectors of each other.
Answer 6 :
Prove that the diagonals of a rectangle are perpendicular if andonly if the rectangle is a square.
Answer 7 :
If AD is themedian of D ABC, using vectors, prove that
AB2 + AC2 = 2 (AD2 + CD2).
Answer 8 :
If the median to the base of a triangle is perpendicular to thebase, then triangle is isosceles.
Answer 9 :
In a quadrilateral ABCD, prove that AB2 +BC2 + CD2+ DA2 = AC2 + BD2 + 4PQ2, where P and Q are middle points ofdiagonals AC and BD.
Answer 10 :