Question
If x is proportional to y and y is proportional to z, then show that x/(y z) + y/(z x) + z/(x y) ∝ 1/x + 1/y + 1/z
If x ∝ y and y ∝ z, then show that + + ∝ + + .
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Class: Class 10
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Question
If x = [katex]\frac{1}{2-\sqrt{3}}[/katex] and y = [katex]\frac{1}{2+ \sqrt{3} }[/katex], then find the value of [katex]\frac{1}{x+1}[/katex] + [katex]\frac{1}{y+1}[/katex]
If x = and y = , then find the value of +
Question
If the price of 1 dozen pens is reduced by ₹ 6, then 3 more pens will be got for ₹ 30. Calculate the price of 1 dozen pens before the reduction of price.
If the price of 1 dozen pens is reduced by ₹ 6, then 3 more pens will be got for ₹ 30.…
Question
In a partnership business, the ratio of the capital of three friends is 6: 4 : 3. After 4 months 1st friend withdraws his half of the capital and after 8 more months total profit is ₹ 61,050. Find the share of the profit of three friends.
In a partnership business, the ratio of the capital of three friends is 6: 4 : 3. After 4 months 1st friend…
Question
The number of smokers is decreasing at the rate of 6 [katex]\frac{1}{4}[/katex] % per year due to publicity of anti-smoking. If at present the number of smokers in a town is 22500, find the number of smokers of that town 2 years ago.
The number of smokers is decreasing at the rate of 6 % per year due to publicity of anti-smoking. If at present…
Question
If 6, 8, 10, 12, 13, x are in increasing order and their mean and median are equal, then find the value of x.
If 6, 8, 10, 12, 13, x are in increasing order and their mean and median are equal, then find the value…
Question
Find the ratio of the volumes of a solid right circular cylinder and a solid right circular cone of equal radii and equal heights.
Find the ratio of the volumes of a solid right circular cylinder and a solid right circular cone of equal radii and…
Question
If the volume of a right circular cone is V cubic unit, the base area is A sq. unit and the height is H unit, then find the value of [katex]\frac{AH}{3V}[/katex]
If the volume of a right circular cone is V cubic unit, the base area is A sq. unit and the height…