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Mathematics Tes...

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  • Question 1
    4 / -1

    Let Tn denote the number of triangles which can be formed by using the vertices of a regular polygon of n sides. If Tn +1 – Tn = 21, then n equals

  • Question 2
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    In an isosceles triangle ABC, AB = AC. If vertical angle A measures 20°, then what is the value of a3+ b3?

  • Question 3
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    The locus of the midpoint of the portion between the axes of \(x \cos \alpha+y \sin \alpha=p,\) where \(p\) is a constant, is

  • Question 4
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    If a circle passes through (a, b) and cuts the circle x2 + y2 = 4 orthogonally, then the locus of its centre is

  • Question 5
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  • Question 6
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    If \(g(x)=\int_{0}^{x} \cos ^{4} t d t,\) then \(g(x+\pi)\) equals

  • Question 7
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    \(f(x)=\left\{\begin{array}{ll}x+a & x<0 \\ |x-1| & : x \geq 0\end{array}\right.\) and

    \(g(x)=\left\{\begin{array}{ll}x+1 & : \text { if } x<0 \\ (x-1)^{2}+b & : x \geq 0\end{array}\right.\)

    If gof is continuous, then

  • Question 8
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    Let S1, S2, … be squares such that for each n≥ 1, the length of a side of Sn equals the length of a diagonal of Sn + 1. If the length of a side of S1 is 10 cm, then the smallest value of n for which Area (Sn) < 1 is

  • Question 9
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    In a triangle \(\mathrm{ABC}, \mathrm{AD}\) is the altitude from A. Given \(b>c, \angle C=23^{\circ}\) and \(A D=\frac{a b c}{b^{2}-c^{2}}\). What is the measure of \(\angle B ?\)

  • Question 10
    4 / -1

    \(\operatorname{li}_{x \rightarrow \infty}\left(\frac{x+5}{x+1}\right)^{x+4}\) is equal to

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