Question
Draw a circle with the help of a bangle. Take any point P outside the circle. Construct the pair of tangents from the point P to the circle.

Answer

Steps of construction:
  1. Drow a circle with the help of bangle.
  2. Take a point P outside the circle and take two chords QR and ST.
  3. Draw perpendicular bisect of these chords.
  4. Join PO and bisect it, Let U be the mid-point of PO.
  5. Taking U as centere, draw a circle of radius OU, which will intersect the original circle at V and W.
  6. Join PV and PW are required tangents.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A hemisphere of maximum possible diameter is placed over a cuboidal block of side 7cm. find the surface area of the solid so formed.
Find the value of k for which the following equations have real and equal roots:
$k^2x^2 - 2(2k - 1)x + 4 = 0$
For the following statments state whether true (T) or false(F):
If two triangles are similar then their corresponding angles are equal and their corresponding sides are equal.
$\triangle\text{ABC}$ is right-angled at A and $\text{AD}\perp\text{BC}.$ If BC = 13cm and AC =5cm, find the ratio of the areas of $\triangle\text{ABC}$ and $​​​​$$\triangle\text{ADC}.$
In the given figure, JKLM is a square with sides of length 6 units. Points A and B are the mid points of sides KL and LM respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of $\triangle\text{JAB}.$
Solve the following systems of equations:
99x + 101y = 499,
101x + 99y = 501.
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
The cost of 2kg of apples and 1kg of grapes on a day was found to be Rs. 160. After a month, the cost of 4kg of apples and 2kg of grapes is Rs. 300 Represent the situation algebraically and geometrically.
The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is 30°. On advancing 150m towards the foot of the tower, the angle of elevation becomes 60° Show that the height of the tower is 129.9 metres. $\big[\text{Given}\sqrt{3}=1.732\big]$
In the given figure, OABC is a square of side 7cm. If COPB is a quadrant of a circle with centre C find the area of the shaded region.