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Mathematics Preparation for MCA Entrance

(496 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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Bca Class
Shared from Circle - 3 on 15 May, 2018 10:10 PM

The intercepts made by the circle x2 + y2 - 5x - 13y - 14 = 0 on x-axis and y-axis respectively are

 
5, 15
6, 15
9, 15
none of these
Please type your answer before submitting.
Bca Class
Posted on 15 May, 2018 10:10 PM

Is this solution correct?

Subham Modi
Shared from Circle - 3 on 14 May, 2018 3:03 PM

The value of k, for which the circles x2 + y2 – 3x + ky – 5 = 0 and 4x2 + 4y2 – 12x – y – 9 = 0 become concentric, is

 
1/8
– 1/8
1/4
– 1/4
Please type your answer before submitting.
Subham Modi
Posted on 14 May, 2018 3:03 PM

On making the other equation in general form and comparing both the euation we could get the value of k.

Apporva Arya
Shared from MCA Mock - 1 on 11 May, 2018 12:33 PM

The number of lines with slope 5 having intercept of length d between the coordinate axis is

 
1
2
4
infinite
Please type your answer before submitting.
Apporva Arya
Posted on 11 May, 2018 12:33 PM

Isnt " d" a variable? hence changing values of d with same slope,line equation will be infinite

Apporva Arya
Shared from MCA Mock - 1 on 11 May, 2018 12:30 PM

The digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written in random order to form a nine-digit number. The probability that this number is divisible by 4 is

 

 

None of these
Please type your answer before submitting.
Apporva Arya
Posted on 11 May, 2018 12:30 PM

Total 2 digit pairs divisible by 4 must be 16( 92,96) must be included too

Abhishek Kumar
Shared from Hyperbola on 19 Feb, 2018 12:54 PM

The eccentricity of hyperbola x2 - 2x - 4y2 = 0, is

 
1/
Please type your answer before submitting.
Abhishek Kumar
Posted on 19 Feb, 2018 12:54 PM

Correct answer is root(5)/2.