This blog makes available plenty of questions for practice, for the Mathematics competitive exams. We also try to bring to students interesting ways of approaching the questions. If you need any assistance in questions from IPM, MTSE, SCHOLARSHIP, OLYMPIAD, CBSE , ICSE or Board test papers, you may write to us.
Wednesday, August 7, 2013
trigonometry -- NCERT ↑↑↑↑
If cosec θ + cot θ = p, then show that cos θ = (p2
– 1)/ (p2 +1)
NCERT EXEMPLARY QUESTIONS
trigonometry - NCERT ↑↑↑↑
If 1 + sin2θ = 3sinθ cosθ , then prove that tanθ
= 1 or ½
NCERT EXEMPLARY QUESTION
Trigonometry - NCERT ↑↑↑↑
If Sin A – Cos A = 0
Then show that Sin4A + Cos4A
= ½
NCERT EXEMPLARY QUESTION
NCERT EXEMPLARY QUESTION
Trigonometry - NCERT ↑↑↑↑
If 4tanA = 3, Then find the value of (4sinA – CosA)/(4sinA + CosA)
NCERT EXEMPLARY QUESTION
Trigonometry - NCERT ↑↑↑↑
If Sin A + Sin2A =1
Find the value of Cos2A +
Cos4A
NCERT EXEMPLARY QUESTION
TRIGONOMETRY -- NCERT ↑↑↑↑
Find the value of Tan1o.tan2o.tan3o.......tan89o
NCERT EXEMPLARY QUESTION
Tuesday, August 6, 2013
24-quadratic equation - NCERT ↑↑↑↑↑
In the
centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has
to be constructed so that the area of the grass surrounding the pond would be
1184 m [see Fig]. Find the length and breadth of the pond.
NCERT EXEMPLARY QUESTIONS
22-quadratic equation -- NCERT ↑↑↑↑↑
At
present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s
age. When Nisha grows to her mother’s present age, Asha’s age would be one year
less than 10 times the present age of Nisha. Find the present ages of both Asha
and Nisha.
NCERT EXEMPLARY QUESTIONS
21-quadratic equation --- NCERT ↑↑↑
If Zeba
were younger by 5 years than what she really is, then the square of her age (in
years) would have been 11 more than five times her actual age. What is her age
now?
NCERT EXEMPLARY QUESTIONS
20-quadratic equation -- NCERT ↑↑↑
A train, traveling at a uniform speed for 360
km, would have taken 48 minutes less to
travel the same distance if its speed were 5 km/h more. Find the original speed of
the train.
NCERT
EXEMPLARY QUESTIONS
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