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For the following questions answer them individually
If a+b+c=4√3 and $$a^{2} + b^{2} +c^{2}$$ = 16, then the ratio a : b : c is
1 : 1 : 1
1:√2:√3
1 : 2 : 3
None of these
If $$x+\frac{1}{x}=2$$ then the value of $$(x^2+\frac{1}{x^2})(x^3+\frac{1}{x^3})$$ is
20
4
8
16
If a, b, c be all positive integers, then the least positive value of $$a^{3} + b^{3} + c^{3} - 3abc$$ is
1
2
0
3
If a+b=1,c+d=1 and a-b= $$\frac{d}{c}$$ then the value of $$c^{2}-d^{2}$$ is
$$\frac{a}{b}$$
$$\frac{b}{a}$$
-1
When f(x) = $$12x^{3} - 13x^{2} - 5x + 7$$ is divided by (3x + 2), then the remainder is
Non of these
If $$x=3t, y=\frac{1}{2} (t+1)$$ then the value of t for which $$x=2y$$ is
$$\frac{1}{2}$$
$$\frac{2}{3}$$
If $$x^{2}+\frac{1}{5}x+a^{2}$$ is a perfect square then a is
$$\frac{1}{100}$$
$$\frac{1}{5}$$
$$\frac{1}{10}$$
10
In a cyclic quadrilateral ABCD m∠A + m∠B + m∠C + m∠D =?
90°
360°
180°
120°
In a right angled triangle, the circumcentre of the triangle lies
inside the triangle
outside the triangle
on midpoint of the hypotenuse
on one vertex
If two angles of a triangle are 21° and 38°, then the triangle is
Right-angled triangle
Acute-angled triangle
Obtuse-angled triangle
Isosceles triangle
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