Cantor's Theorem
Statement of the theorem Let $A$ be a non-empty set, then there does not exist any onto function $f$ from $A$ to $P(A)$. Pro…
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View allQuestion 11 (Area of the Region Bounded by Curves)
The area of the region bounded by the curves \(y^2=x-3, y^2=2-x, y=1\) and \(y=-2\) is- (a) 7 (b) 8 (c) 9 (d) 10 Show Ans…
ByDr. Pawan
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CSIR NET December 2024 Exam Update
NTA has released final answer key on its official website. You may check your score now by logging in into their website. …
ByDr. Pawan
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Question 10 (CSIR NET December 2024, Linear Algebra)
Let \(V=\{a_0+a_1x+a_2x^2 : a_0, a_1, a_2 \in \mathbb{R}\}\) be a vector space and \(T:V\rightarrow V\) is a linear transf…
ByDr. Pawan
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Question 09 (Diagonally Dominant Matrix)
Which of the following matrices is/are diagonally dominant? (a) \(\begin{bmatrix}-2 & 5 & 0\\ 0 & 1& 1\\ …
ByDr. Pawan
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Question 08 (Jacobi Iterative Method)
In Jacobi iteration method \(x^{(k+1)}=Hx^{(k)}+c\); \(k=0,1,2,...\), the matrix \(H\) and \(c\) are given by- (a) \(H=D^…
ByDr. Pawan
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Question 07 (Cauchy Problem)
The solution of Cauchy problem \(xu_x+yu_y=0\) with initial data \(u(x,y)=x\) on \(x^2+y^2=1\) is- (a) Exist for all \(x\…
ByDr. Pawan
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