Delhi University MCA 2020 Previous Year Questions (PYQs) – Page 3 of 4
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Solution
Let U and V be vector spaces.
Then they are isomorphic iff there is a bijection from a basis of U to a basis of V.
The isomorphism is the basis changer function.
This means that if U and V are finite-dimensional vector spaces, they are isomorphic iff dim(U)=dim(V).
The condition for the line $x\cos\alpha+y\sin\alpha=p$ to touch the curve $\left(\dfrac{x}{a}\right)^3+\left(\dfrac{y}{b}\right)^3=1$ is $(a\cos\alpha)^t+(b\sin\alpha)^t=p^t$ where $t$ is equal to
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Solution
Delhi University MCA
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