Question
Find the probability that a leap year selected at random will have 53 sundays.
✓
Answer
$\frac{2}{7}$
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Very-short and Short-Answer Questions.
Write the value of $\Big(\cot^2\theta+\frac{1}{\sin^2\theta}\Big).$
→Write the value of $\Big(\cot^2\theta+\frac{1}{\sin^2\theta}\Big).$
Evaluate the following:
$\sin^230^\circ\cos^245^\circ+4\tan^230^\circ+\frac{1}{2}\sin^290^\circ-2\cos^290^\circ+\frac{1}{24}\cos^20^\circ$
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A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone.
Find n if the given value of $x$ is the $n^{th}$ term of the given A.P.
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Find the point on X-axis which is equidistant from P(2,-5) and Q(-2,9).
how many two-digit numbers are divisible by 5?
Activity :- Two-digit numbers divisible by 5 are, 10,15,20........95.
Here, d=5, therefore this sequence is an A.P.
Here a=10, d=5, Tn=95, n=?
$t _{ n }$= a+(n-1____)
____= 10+(n-1)×5
____= (n-1)×5
____= (n-1)
therefore n=____
there are ____two-digit numbers divisible by 5.
→Activity :- Two-digit numbers divisible by 5 are, 10,15,20........95.
Here, d=5, therefore this sequence is an A.P.
Here a=10, d=5, Tn=95, n=?
$t _{ n }$= a+(n-1____)
____= 10+(n-1)×5
____= (n-1)×5
____= (n-1)
therefore n=____
there are ____two-digit numbers divisible by 5.
The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.
A spherical cannon ball 28cm in diameter is melted and recast into a right circular conical mould, base of which is 35cm in diameter. Find the height of the cone.
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→In adjoining figure, seg $AD \perp$ side BC , B -D-C. Prove that $A B ^2+ C D ^2= B D ^2+ A C ^2 \quad$
→