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Friday, 30 June 2023

Prove that √5 is an irrational number.(ncert).

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Labels: Rational & Irrational numbers.

Saturday, 24 June 2023

Without solving the following quadratic equation, find the value of 'm' for which the given equation has real and equal roots x²+2(m-1)x+(m+5)=0.

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Labels: Quadratic Equations

Sunday, 11 June 2023

Find the order and degree of the differencial equation x²d²y/dx²=[1+(dy/dx)²]^4. (cbse2019).

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Labels: Differential Equation

Thursday, 8 June 2023

Find intg.sqrt.(1-sin2x)dx.(CBSE2019).

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Labels: Integration

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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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