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1
ISRO 2009- ECE Calculus
f(x) = [$ tan ^2$ x] ( [ ] stands for greatest integer function) a) f(x) continuous at x = 0 b) limit f(x) does not exist as x tend to 0 c) f '(0) = 1 d) f(x) not derivable at x = 0
f(x) = [$ tan ^2$ x] ( [ ] stands for greatest integer function)a) f(x) continuous at x = 0b) limit f(x) does not exist as x tend to 0c) f '(0) = 1d) f(x) not derivable ...
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3 answers
2
ISRO2006-ECE calculus
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2 answers
3
ISRO 2009-ECE Engineering Mathematics
There is a function f(x), such that f(0) = 1 and f ' (0)= -1 and f(x) is positive for all values of x. Then, a) f"(x) < 0 for all x b) -1 < f'' (x) < 0 for all x c) -2 < f '' (x) < -1 for all x d) None of the above
There is a function f(x), such that f(0) = 1 and f ' (0)= -1 and f(x) is positive for all values of x. Then,a) f"(x) < 0 for all xb) -1 < f'' (x) < 0 for all xc) -2 < f ...
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4
ISRO 2010-ECE matrices
If every minor of order 'r' of a matrix 'A' is zero, then rank of 'A' is a) greater than 'r' b) equal to 'r' c) less than or equal to 'r' d) less than 'r'
If every minor of order 'r' of a matrix 'A' is zero, then rank of 'A' isa) greater than 'r'b) equal to 'r'c) less than or equal to 'r'd) less than 'r'
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4 answers
5
ISRO2012-ECE Probability
Person $\text{X}$ can solve $80\%$ of the ISRO question paper and Person $\text{Y}$ can solve $60\%.$ The probability that at least one of them will solve a problem from the question paper, selected at random is : a. $0.48$ b. $0.70$ c. $0.88$ d.$ 0.92$
Person $\text{X}$ can solve $80\%$ of the ISRO question paper and Person $\text{Y}$ can solve $60\%.$ The probability that at least one of them will solve a problem from ...
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6
ISRO 2014- probability [EE]
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is (A) 140 (B) 196 (C) 280 (D) 346
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him ...
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7
ISRO 2014 -Trigonometry [EE]
If tan $\Theta$ = 8 / 15 and $\Theta$ is acute, then cosec $\Theta$ (A) 8 / 17 (B) 8 / 15 (C) 17 / 8 (D) 17 / 15
If tan $\Theta$ = 8 / 15 and $\Theta$ is acute, then cosec $\Theta$(A) 8 / 17(B) 8 / 15(C) 17 / 8(D) 17 / 15
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4 answers
8
ISRO 2012- ECE Matrices
The Eigen values of matrix are: a) ± cos∝ b) ± sin ∝ c) tan ∝ & cot ∝ d) cos ∝ ± sin ∝
The Eigen values of matrix are:a) ± cos∝b) ± sin ∝c) tan ∝ & cot ∝d) cos ∝ ± sin ∝
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10
ISRO 2013- Polynomials [EE]
The unique polynomial P(x) of degree 2 such that: P(1) = 1, P(3) = 27, P(4) = 64 is a) 8$x^2$ -19x + 12 b) 8$x^2$ + 19x + 12 c) -8$x^2$ -19x + 12 d) -8$x^2$ -19x - 12
The unique polynomial P(x) of degree 2 such that: P(1) = 1, P(3) = 27, P(4) = 64 isa) 8$x^2$ -19x + 12b) 8$x^2$ + 19x + 12c) -8$x^2$ -19x + 12d) -8$x^2$ -19x - 12
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11
ISRO 2013- Functions [EE]
The minimum point of the function ($x^3$ / $3$)- $x$ is at a) x= 1 b) x = -1 c) x = 0 d) x = 1/ √ 3
The minimum point of the function ($x^3$ / $3$)- $x$ is ata) x= 1b) x = -1c) x = 0d) x = 1/ √ 3
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12
ISRO 2013- Integration [EE]
The integrating factor of equation sec 2 y dy/dx + x tan y = x3 is a) $[e]^{x^2/2}$ b) $[e]^ {-x^2/2}$ c) $[e]^{x/2}$ d)$ [e]^{-x/2}$
The integrating factor of equation sec 2 y dy/dx + x tan y = x3 isa) $[e]^{x^2/2}$b) $[e]^ {-x^2/2}$c) $[e]^{x/2}$d)$ [e]^{-x/2}$
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14
ISRO 2010-ECE Continuity in functions
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15
ISRO 2012- Probability [Mech]
The probability that A happens is 1/3. the odds against happening A are: a) 2:1 b) 3:2 c) 1:2 d) 2:3
The probability that A happens is 1/3. the odds against happening A are:a) 2:1b) 3:2c) 1:2d) 2:3
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2 answers
16
ISRO 2010-ECE Calculus
What does the following integral evaluate to? a) 5 π /16 b) 5 π /8 c) 0 d) 5 π /32
What does the following integral evaluate to?a) 5 π /16b) 5 π /8c) 0d) 5 π /32
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17
ISRO 2013 - matrices [Mech]
If A=$\begin{bmatrix} 8 & 5 & \\ 7& 6 & \end{bmatrix}$ then |$A^{121}$ - $A^{120}$ | is: a) 0 b) 1 c) 120 d) 121
If A=$\begin{bmatrix} 8 & 5 & \\ 7& 6 & \end{bmatrix}$ then |$A^{121}$ - $A^{120}$ | is:a) 0b) 1c) 120d) 121
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18
ISRO 2013- Newton Raphson [EE]
The equation $x^3$ - $x^2$ + 4$x$ - 4 = 0 is to be solved using the Newton - Raphson method. If x =2 is taken as the initial approximation of the solution, then the next approximation using the method will be a) 2/3 b) 4/3 c) 1/3 d) 5/3
The equation $x^3$ - $x^2$ + 4$x$ - 4 = 0 is to be solved using the Newton - Raphson method. If x =2 is taken as the initial approximation of the solution, then the next ...
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19
engineering mathematics
The minimum value of the function $f(x)=x^3/3-x$ occurs at x= 1 x= -1 x= 0 x= $\frac{1}{\sqrt[]{3}}$
The minimum value of the function $f(x)=x^3/3-x$ occurs at x= 1x= -1x= 0x= $\frac{1}{\sqrt[]{3}}$
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2 votes
2 answers
20
ISRO 2013 - Matrices [Mech]
If A is Square Matrix of order 3, then product of A and its transpose is (a) Unit Matrix (b) Zero Matrix (c) Identity Matrix (d) Symmetric Matrix
If A is Square Matrix of order 3, then product of A and its transpose is(a) Unit Matrix(b) Zero Matrix(c) Identity Matrix(d) Symmetric Matrix
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