For the following questions answer them individually
$$(x+\frac{1}{2})^{2} = q^4$$ and x is the smallest natural number then the possible values of q are
If $$x=\sqrt[3]{a+\sqrt{a^{2}+b^{3}}}$$ + $$\sqrt[3]{a-\sqrt{a^{2}+b^{3}}}$$, then $$x^{3}+3bx$$ is equal to
If $$\frac{1}{\sqrt[3]{4}+ \sqrt[3]{2}+1}= a^{\sqrt[3]{4}}+b^{\sqrt[3]{2}}+c$$ and a, b, c are rational numbers. then a + b + c is equal to
If $$\frac{a}{b}=\frac{4}{5}$$ and $$\frac{b}{c}=\frac{15}{16}$$, then $$\frac{18^{c^{2}}-7a^{2}}{45c^{2}+20a^{2}}$$ is equal to
Two circles with centres P and Q intersect at B and C. A, D are points on the circles with centres P and Q respectively such that A, C, D are collinear. If LAPB = 130°, and LBQD = x, then the value of x is
C and C are two concentric circles with centres at 0. Their radii are 12 cm. and 3 cm. respectively. B and C are the points of contact of two tangents drawn to C2 from a point A lying on the circle C1. Then the area of the quadrilateral ABOC is
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