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Mathematics Tes...

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  • Question 1
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    Consider the following circles
    I. \(x^{2}+y^{2}+4 x-6 y-12=0\)
    II. \(x^{2}+y^{2}-12 x-14 y+60=0\)
    III. \(x^{2}+y^{2}-10 x+8 y+18=0\)
    Which of the above circle has equal area?

  • Question 2
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    What is the value of \(\lim _{x \rightarrow 0} \frac{\sqrt{1+x}-1}{x} ?\)

  • Question 3
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    The area of a rectangle will be maximum for the given perimeter, when rectangle is a

  • Question 4
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    What is the area bounded by the lines x = 0, y = 0 and x + y + 2 = 0 ?

  • Question 5
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    Kamal & Monika appeared for an interview for 2 vacancies. The probability of Kamal’s selection is 1/3 & that of Monika’s selection is 1/5. Find the probability that only one of them will be selected.

  • Question 6
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    If two vertices of an equilateral triangle be (0,0), (3, √3). Find the third vertex.

  • Question 7
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    If \(A+i B=\frac{4+2 i}{1-2 i},\) where \(i=\sqrt{-1},\) then what is the value of \(A ?\)

  • Question 8
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    If \(y=\log \left(\frac{1+\sqrt{x}}{1-\sqrt{x}}\right),\) then \(\frac{d y}{d x}\) is equal to

  • Question 9
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    The circumference of a circle exceeds the diameter by 16.8 cm. Find the radius of the circle.

  • Question 10
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    The barrel of a fountain pen , cylindrical in shape , is 7cm long and 5mm in diameter. A full barrelof ink in the pen will be used up on writing 330 words on an average . How many words would useup a bottle of ink containing one fifth of a litre?

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