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Fill in the blanks given in the following table
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$A B C D$ is a parallelogram. $E$ is a point on $B A$ such that $B E=2 E A$ and $F$ is point on $D C$ such that $D F=2 F C$. Prove that AECF is a parallelogram whose area is one third of the area of parallelogram $A B C D$.
→ABCD is a trapezium in which AB || CD, AB = 16cm and DC = 24cm. If E and F are respectively the midpoints of AD and BC, prove that $\text{ar(ABFE)}=\frac{9}{11}\text{ar(EFCD)}.$
→Compute the area of trapezium PQRS in figure.
By using data in example (6), and taking classes 30 – 40, 40 – 50,… prepare equal to or more than type cumulative frequency table and answer the following questions based on it.
i. How many students have scored marks 70 or more than 70?
ii. How many students have scored marks 30 or more than 30?
i. How many students have scored marks 70 or more than 70?
ii. How many students have scored marks 30 or more than 30?
The expenditure (in 10 crores of rupees) on health by the Government of India during the various five-year plans is shown below:
Construct a bar graph to represent the above data.
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Plans
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I
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II
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III
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IV
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V
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VI
|
|
Expenditure on health(in 10 crores of rupees)
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7
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14
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23
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34
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76
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182
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In each of the figures given below, ABD is a rectangle. Find the values of x and y in each case.
In the given figure, O is the centre of a circle. If $\angle\text{AOC}=140^\circ$ and $\angle\text{CAB}=50^\circ,$ calculate
→- $\angle\text{EDB}$
- $\angle\text{EBD}$
If $(28 – x)$ is the mean proportional of $(23 – x)$ and $(19 – x),$ then find the value of $x.$
→The point Q( -3, -2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.
In the given figure, $\text{AD}\perp\text{BC}$ and CD > BD. Show that AC > AB.
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