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 : -