Question
O is the circumcentre of the triangle ABC. OD ⊥ BC. Prove that ∠BOD = ∠BAC.
O is the circumcentre of the triangle ABC. OD ⊥ BC. Prove that ∠BOD = ∠BAC.
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Question
AB is the diameter of the circle with centre O. From a point P on the circle, a perpendicular PN is drawn on AB. Prove geometrically that PB² = AB.BN.
AB is the diameter of the circle with centre O. From a point P on the circle, a perpendicular PN is drawn…
Question
Prove that in a cyclic quadrilateral opposite angles are supplementary.
Prove that in a cyclic quadrilateral opposite angles are supplementary.
Question
If x/y = (a + 2)/(a – 2), then find the value of (x² – y²)/(x² + y²)
If = , then find the value of
Question
If (b + c – a)x = (c + a – b)y = (a + b – c)z = 2, then prove that (1/x + 1/y)(1/y + 1/z)(1/z + 1/x) = abc.
If (b + c – a)x = (c + a – b)y = (a + b – c)z = 2, then prove…
Question
If x = [katex]4√15 \over √5 + √3[/katex], then find the value of [katex]x + √20 \over x − √20[/katex] + [katex] x + √12\over x - √12[/katex]
If x = , then find the value of +
Question
Divide 16 into two parts in such a way that twice the square of the greater part is 164 more than the square of the smaller part.
Divide 16 into two parts in such a way that twice the square of the greater part is 164 more than the…