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Thursday, 31 July 2025

Find the angle between the straight lines y-√3x-5=0 and √3y-x+6=0. [n c e r t ]


   









 

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Labels: Straight line +1

Monday, 28 July 2025

Find the equation of the line that is parallel to 2x+5y=7 and passing through the mid point of the line joining (2,7) and (-4,1).[ncert]





 




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Labels: Straight line +1

Sunday, 13 July 2025

Sum of first n terms of a GP and sum of infinite GP series.[10th & 11th]






 

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Linear and non linear integral equations. [ MSc mathematics]





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Labels: Integral Equations MSc Maths

Friday, 4 July 2025

Find the equation of a circle passing through the points (4,1) and (6,5) and whose center is on the line 4x+y=16. (ncert)






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Labels: Circle (11)

Tuesday, 1 July 2025

Solve 5<=|2x+1|<=7?

 



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Labels: Inequalities
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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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  • Airthmatic progression
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