Question
Bayes' theorem is also called the __________ for the probability of "causes".
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Answer
formula
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Fill in the blank.
If A and B are square matrices of the same order, then:
If A and B are square matrices of the same order, then:
- (AB)' = _________.
- (kA)' = _________. (k is any scalar)
- [k(A - B)]' = _________.
If a line makes equal angles with direction axes, then the direction cosines of that line will be_______
Fill in the blanks:
If A is a matrix of order 3 × 3, then number of minors in determinant of A are ________.
If A is a matrix of order 3 × 3, then number of minors in determinant of A are ________.
The approximate value of $\sqrt{26}$ will be……..
→The number of arbitrary constants present in the general solution of any differential equation of order three will be ____________ .
If $2 P ( A )= P ( B )=\frac{5}{12}$ and $P \left(\frac{A}{B}\right)=\frac{1}{5}$, then $P(A \cup B)$=______.
→Fill in the blank.
Let the relation R be defined in N by aRb if 2a + 3b = 30. Then R = ______.
Let the relation R be defined in N by aRb if 2a + 3b = 30. Then R = ______.
Consider the following equations of curves $x^2= y$ and $y = x.$
On the basis of above information, answer the following questions.
→On the basis of above information, answer the following questions.
- The point(s) of intersection of both the curves is (are).
- (0, 0)(2, 2)
- (0, 0)(1, 1)
- (0, 0)(-1, -1)
- (0, 0)(-2, -2)
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- The value of the integral $\int\limits_{1}^{0}\text{x}\ \text{dx}$ is.
- $\frac{1}{4}$
- $\frac{1}{3}$
- $\frac{1}{2}$
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- The value of the integral $\int\limits_{0}^{1}\text{x}^2\ \text{dx}$ is.
- $\frac{1}{4}$
- $\frac{1}{3}$
- $\frac{1}{2}$
- $1$
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Dfferentiation of $\cos (\sqrt{x})$ w.r.t. $x$ is ________ .
→Fill in the blanks: If $\text{f(x)}=\begin{vmatrix}(1+\text{x})^{17}&(1+\text{x})^{19}&(1+\text{x})^{23}\\(1+\text{x})^{23}&(1+\text{x})^{29}&(1+\text{x})^{34}\\(1+\text{x})^{41}&(1+\text{x})^{43}&(1+\text{x})^{47}\end{vmatrix}=\text{A}+\text{Bx}+\text{Cx}^2+\ \dots,$ then A = ________.
→