Question
Draw a circle with centre O and radius 4cm. Draw any diameter AB of this circle. Construct tangents to the circle at each of the two end points of the diameter AB.
✓
Answer
Steps of Construction:
-
Draw a circle with centre O and radius 4cm.
-
Draw any diameter AB.
-
Draw line $\text{L}\perp\text{OA}$ such that $\angle\text{OAL}=90^\circ.$
-
Draw line $\text{M}\perp\text{OB}$ such that $\angle\text{OBM}=90^\circ.$
Thus, LA and LB are the required tangent.
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
As observed from the top of a lighthouse, 100m above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30° to 60°. Determine the distance travelled by the ship during the period of observation. $\big[\text{Use}\sqrt{3}=1.732\big]$
→Solve the following systems of equations by using the method of cross multiplication:
$\text{7x}-\text{2y}=3,$
$\text{11x}-\frac{3}{2}\text{y}=8$
→$\text{7x}-\text{2y}=3,$
$\text{11x}-\frac{3}{2}\text{y}=8$
Water is flowing through a cylindrical pipe of internal diameter $2\ cm,$ into a cylindrical tank of base radius $40\ cm,$ at the rate of $0.4\ m$ per second. Determine the rise in level of water in the tank in half an hour.
→Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the y-axis:
4x - y - 4 = 0, 3x + 2y - 14 = 0
4x - y - 4 = 0, 3x + 2y - 14 = 0
$A(6, 1), B(8, 2)$ and $C(9, 4)$ are the vertices of a parallelogram ABCD. If E is the midpoint of DC, find the area of $\triangle\text{ADE}.$
→The height of an equilateral triangle is 6cm. Find its area. $\big[\text{Take}\sqrt{3}=1.73\big]$
→Solve the following quadratic equation: $a^2b^2x^2 + b^2x - a^2x - 1= 0$
→For what values of k are points $A(8, 1), B(3, -2k)$ and $C(k, -5)$ collinear.
→The inside perimeter of a running track shown in the shown in the figure is 400m. the length of the straigth portions is 90m, and the ends are semicicles. if the track. Also find the length of the outer boundary of the track. $\Big[\text{Use }\pi=\frac{22}{7}\Big]$
→Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 5 | 25 | ? | 18 | 7 |