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  • Question 1
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    Find the coordinates of the centre of the circle passing through the points (0, 0), (–2, 1) and (–3, 2).

  • Question 2
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    Find the unit digit in765×641×357=?

  • Question 3
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    What is∫sinxxdxis equal to?

  • Question 4
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    For a frequency distribution, mean, median and mode are connected by the relation?

  • Question 5
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    What is \(\int_{0}^{1} x e^{x} d x\) equal to?

  • Question 6
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    If ∆ABC ~ ∆DEF such that AB = 1.2 cm & DE = 1.4cm. Find the ratio of areas of ∆ABC & ∆DEF.

  • Question 7
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    A circle is inscribed in a ∆ABC having sides 8 cm, 10cm and 12cm as shown in figure. Find AD, BE & CF.

  • Question 8
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    The ratio in which the line joining (2, 4, 5), (3, 5, –4) is divided by the yz plane is?

  • Question 9
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    The sides of a triangle are 6.5 cm, 10 cm & x cm, where x is a positive number. What is the smallest possible value of x among the following?

  • Question 10
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    If \(\alpha \& \beta\) are the zeros of the polynomial \(f(x)=x^{2}-5 x+k\) such that \(\alpha-\beta=1,\) Find the value of \(k\).

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