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Wednesday, 1 January 2025

Prove that x²+y²+2gx+2fy+c=0 is the equation of a circle.

at January 01, 2025

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Integrating (1/(1-cosx)) -(1/(1+cosx)) w.r.t x.

Use the remainder theorem to factorise the following expression: 2x^3+x^2-13x+6. [icse 2010]
If (7m + 2n)/(7m - 2n) = 5/3 ; use the properties of proportion to find:(i) m:n. (ⅱ) (m ^ 2 + n ^ 2)/(m ^ 2 - n ^ 2). [icse 2017]

(i) m:n Given that , (7m + 2n)/(7m - 2n) = 5/3 Applying componendo and dividendo, we get, ((7m + 2n) + (7m - 2n))/((7m + 2n) - (7m - 2n)) =...
Find the values of p and q for which the following system of equations has infinite number of solutions: 2x + 3y = 7 , (p + q) * x + (2p - q) * y = 21 [cbse 10th 2001]

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