Jitender Gupta and Divya Malik Solutions for Exercise 1: SAMPLE QUESTION PAPER

Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.

Ashok sold a certain number of $₹20$ shares paying $8\%$ dividend at $₹18$ and invested the proceeds in $₹10$ shares, paying $12\%$ dividend at $50\%$ premium. If the change in his annual income is $₹120$, then find the number of shares sold by him.

Use graph paper for this question.
Take$1 \mathrm{cm}=1$ Unit on the both axes.
Plot the points $A(1, 1), B(5,3)$ and $C(2, 7)$.

Locate the point $P$ such that $AP=PB$ and $A$ is equidistant from $AB$ and $AC$.

In the given figure, $PQ=QR, \angle RQP=68 °$, $PC$ and $QC$ are tangents to the circle with centre $O$. Calculate the value of

$\angle QOP$

In the given figure, $PQ=QR, \angle RQP=68 °$, $PC$ and $QC$ are tangents to the circle with centre $O$. Calculate the value of

$\angle QCP$

The equation of a line is $2x-2\sqrt{3}y+\sqrt{3}=0$. Find its inclination.

At the foot of a mountain the angle of elevation of its summit is $45°$ after ascending $1000 \mathrm{m}$ towards the mountain up a slope of $30°$inclination, the angle of elevation is found to be $60°$ . Find the height of the mountain.

Miss Radhika goes to a mall to purchase a saree whose cost is $₹1770$ (list price). She tells the shopkeeper to reduce the price in such an extent that she has to pay$₹1770$, inclusive GST which is at the rate of $18\%$, find the reduction of price needed in the saree.