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Special Determinants

1. If A=x+y=1...

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1. If A={x+y=16} and B={9x+25y=225}. Then n(A union B) is equal to (1)Zero (2)2 (3)4 (4) infinite

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Q. The length of a common tangent to

x^{2} + y^{2} = 16

9 x^{2} + 25 y^{2} = 225

A = {y : x^{2} + y^{2} < 1, x \in N}

B = {y : x^{2} + y^{2} = 4, x \in N}

n (A \times B)

Q. The equations of circles with radius

3

units and touching the circle

x^{2} + y^{2} - 2 x - 4 y - 20 = 0

(5, 5)

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 1 & 2 & 3 1 & 3 & 4 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} 71622 \end{matrix} ⎤ ⎥ ⎦, X = ⎡ ⎢ ⎣ \begin{matrix} x y z \end{matrix} ⎤ ⎥ ⎦

A X = B

z

A = {x : x^{2} - 4 \leq 0, x \in Z}

B = {y : y^{2} - 9 \geq 0, y \in Z}

n (A \cap B)

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