Question
Construct an angle PQR = 45°. Mark a point S on QR such that QS = 4.5 cm. Construct a circle to touch PQ at Q and also to pass through S.
✓
Answer
Steps of constructions:
(i) Draw ∠ PQX = 90°
(ii) Bisects ∠ PQX and draw ∠ PQR = 45°
(iii) Cut off QS = 4.5 cm from QR.
(iv) r bisector of QS and it intersects of QX at O.
(v) With O as centre and radius = OQ ( or OS draw the required circle).
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A two digit number is four times the sum and $3$ times the product of its digits, find the number.
→Find the circumference of the circle whose area is $25$ times the area of the circle with radius $7 \ cm.$
→A sum of $Rs. 700$ is to be paid to give seven cash prizes to the students of a school for their overall academic performance. If the cost of each prize is $Rs. 20$ less than its preceding prize; find the value of each of the prizes.
→The horizontal distance between two trees of different heights is 100m. The angle of depression of the top of the first tree when seen from the top of the second tree is 45°. If the height of the second tree is 150m, find the height of the first tree.
$A=\left[\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}\right]$, show that $A^2 - 5A + 7 I_2 = 0$.
→If the image of the point $(2,1)$ with respect to the line mirror be $(5, 2).$ Find the equation of the mirror.
→The radius of a solid right circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its : volume
Find two numbers whose mean proportional is 16 and the third proportional is 128.
The government seeing the necessity of computers in daily life reduced sales tax on it by 8%. As a result, computers are now cheaper by Rs 2,240. Find the marked price of the computers.
A farmer wishes to grow a $100\ m^2$ rectangular vegetable garden. Since he was with him only $30\ m$ barbed wire, he fences $3$ sides of the rectangular garden letting the compound of his house to act as the $4^{th}$ side. Find the dimensions of his garden .
→