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Mathematics Preparation for MCA Entrance

(516 Posts)

This thread is dedicated to preparation for Mathematics section of MCA Entrance exams like IITJAM, ICET, NIMCET, TANCET and other MCA entrance exams conducted by institutes like Thapar, Pune University, JNU etc. You may share questions related to topics like Differential Calculus, Set Theory and Relations, Binomial Series, Quadratic Equations, Functions and Equations, Sequence/Series, Exponential and Logarithmic Series, Statistics, Modern Algebra, Co-Ordinate Geometry, Trigonometry, Integral Calculus, Complex Numbers, Matrices and Determinants, Vectors, 3-D Geometry, Permutation and Combination, Probability etc.

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Shreya Jaiswal
Shared from BIT MCA Mock - 5 on Jun 09, 2023 5:02 PM

A function f(x) is called even if f(-x) = f(x) for all x and it is called odd if f(-x) = -f(x) for all x. Which of the following statements is/are true?

(i) The product of an even function and an odd function is even.
(
ii) The sum of two even functions is even.
(
iii) The product of two odd functions is even.

 
(i) and (ii) are true.
(i) and (iii) are true.
(ii) and (iii) are true.
Only (i) is true.
Only (ii) is true.
Please type your answer before submitting.

Can someone explain this with an example?

Rahul Biswas
Posted on Jun 01, 2022 4:02 PM

is equal to:

 
cosec x
-cosec x
sec x
-sec x
Please type your answer before submitting.
Rahul Biswas
Posted on Apr 05, 2022 5:47 PM

If sec θ - tan θ = 1/2, then θ lies in

 
first quadrant
second quadrant
third quadrant
fourth quadrant
Please type your answer before submitting.
Vishal Srivastav
Shared from NIMCET Mock - 2 on Jun 25, 2020 2:07 PM

is equal to

 
0
None of these
Please type your answer before submitting.

In second last step, there is an error, solution does not include '2' that is associated with sqrt x, the answer should be 1/4 and not 1/8.

Siman Parveen
Shared from BHU 2011 on Mar 31, 2020 8:22 PM

If is the scalar triple product of three vectors , and , then is equal to

 
[]
Please type your answer before submitting.

Can any one tell how option B is the correct answer????we all know...[ a b c ]=[ b c a ] then how [ a b c ]=[ c b a ]