Question
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure .What is the probability that it crashed inside the lake shown in the figure ?
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Answer
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Similar questions
In $\triangle\text{ABC},\text{D}$ is the midpoint of $BC$ and $\text{AE}\perp\text{BC}.$ If $\text{AC}>\text{AB},$ show that.
$\text{AB}^2=\text{AD}^2-\text{BC}.\text{DE}+\frac{1}{4}\text{BC}^2.$
→$\text{AB}^2=\text{AD}^2-\text{BC}.\text{DE}+\frac{1}{4}\text{BC}^2.$
₹ 1000 is invested at 10 percent simple interest. Check at the end of every year if the total interest amount is in A.P. If this is an A.P. then find interest amount after 20 years. For this complete the following activity.
$\text { Simple interest }=\frac{P \times R \times N}{100}$
Simple interest after 1 year $=\frac{1000 \times 10 \times 1}{100}=\square$
Simple interest after 2 year $=\frac{1000 \times 10 \times 2}{100}=\square$
Simple interest after 3 year $=\frac{\square \times \square \times \square}{100}=300$
According to this the simple interest for $4,5,6$ years will be 400, $\square$ $\square$ respectively.
From this $d =$ $\square$ and $a =$ $\square$
Amount of simple interest after 20 years
$t_n+a+(n-1) d $
$t_{20}=\square+(20-1) \square $
$t_{20}=\square$
Amount of simple interest after 20 years is $=$ $\square$
→$\text { Simple interest }=\frac{P \times R \times N}{100}$
Simple interest after 1 year $=\frac{1000 \times 10 \times 1}{100}=\square$
Simple interest after 2 year $=\frac{1000 \times 10 \times 2}{100}=\square$
Simple interest after 3 year $=\frac{\square \times \square \times \square}{100}=300$
According to this the simple interest for $4,5,6$ years will be 400, $\square$ $\square$ respectively.
From this $d =$ $\square$ and $a =$ $\square$
Amount of simple interest after 20 years
$t_n+a+(n-1) d $
$t_{20}=\square+(20-1) \square $
$t_{20}=\square$
Amount of simple interest after 20 years is $=$ $\square$
If the sum of a certain number of terms starting from first term of an A.P. is $25, 22, 19, ...,$ is $116$. Find the last term.
→The height of a solid cylinder is 15cm and the diameter of its base is 7cm. Two equal conical holes each of radius 3cm and height 4cm are cut off. Find the volume of the remaining solid.
Find the coordinates of centroid $G$ of $A B C$, if
(i) $A (8,9), B (4,5), C (6,2)$
(ii) $A (11,8), B (-6,5), C (1,-28)$
→(i) $A (8,9), B (4,5), C (6,2)$
(ii) $A (11,8), B (-6,5), C (1,-28)$
In an A.P., if the first term is $22$, the common difference is $-4$ and the sum to n terms is $64$, find n.
→Ashu is $x$ years old while his mother Mrs. Veena is $x^2$ years old. Five years hence Mrs. Veena will be three times old as Ashu. Find their present ages.
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Very-Short and Short-Answer Questions:
Write the number of solutions of the following pair of linear equations:
$x + 3y - 4 = 0, 2x + 6y - 7 = 0$
→Write the number of solutions of the following pair of linear equations:
$x + 3y - 4 = 0, 2x + 6y - 7 = 0$
A boiler is in the form of a cylinder 2m long with hemispherical ends each of 2 metre diameter. Find the volume of the boiler.