Question
Construct ∆ABC such that ∠B =100°, BC = 6.4 cm, ∠C = 50° and construct its incircle.
✓
Answer
Steps of construction:
i. Construct ∆ABC of the given measurement.
ii. Draw the bisectors of ∠B and ∠C. Let these bisectors intersect at point I.
iii. Draw a perpendicular IM on side BC. Point M is the foot of the perpendicular.
iv. With I as centre and IM as radius, draw a circle which touches all the three sides of the triangle.
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
The distance between two places A and B on a road is 70 kilometres. A car starts from A and the other from B. If they travel in the same direction, they will meet in 7 hours. If they travel towards each other they will meet in 1 hour, then find their speeds.
In the neighbouring figure, percentage bar-diagram is given. Percentage expenses on different items of two families are given.
Answer the following questions based on it :
(i) Write the percentage expenses of every component for each family.
(ii) Which family spends more percent of expenses on food as compared to the other and by how much ?
(iii) What are the percentage expenses on other items ?
(iv) Which family shows more percentage expenses on electricity?
(v) Which family's percentage expense is more on education ?
Answer the following questions based on it :
(i) Write the percentage expenses of every component for each family.
(ii) Which family spends more percent of expenses on food as compared to the other and by how much ?
(iii) What are the percentage expenses on other items ?
(iv) Which family shows more percentage expenses on electricity?
(v) Which family's percentage expense is more on education ?
The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar diagram. (Approximate the percentages to the nearest integer)
The following data gives the demand estimates of the Government of India, Department of Electronics for the personnel in the Computer sector during the Eighth Plan period (1990–95):
Represent the data with the help of a bar graph. Indicate with the help of the bar graph the course where the estimated requirement is least.
|
Qualifications
|
MCA (Masters in Computer Applications)
|
DCA (Diploma in Computer Applications
|
DCE (Diploma in Computer Engineering)
|
CL (Certificate Level Course)
|
ST (Short Term Course)
|
|
Personnel required
|
40600
|
181600
|
18600
|
670600
|
1802900
|
The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.
i. seg DE and seg AB
ii. seg BC and seg AD
iii. seg BE and seg AD
Two lines AB and CD intersect at a point O, such that $\angle\text{BOC}+\angle\text{AOD}=280^\circ,$ as shown in the figure. Find all the four angles.
→1. Divide $p(x) = 3x^2 + x + 7 by x + 2.$ Find the remainder.
2. Find the value of $p(x) = 3x^2 + x + 7 $ when $x = – 2.$
3. See whether remainder obtained by division is same as the value of $p(-2)$. Take one more example and verify.
→2. Find the value of $p(x) = 3x^2 + x + 7 $ when $x = – 2.$
3. See whether remainder obtained by division is same as the value of $p(-2)$. Take one more example and verify.
A survey was conducted to know the hobby of 220 students of class IX. Out of which 130 students informed about their hobby as ’rock climbing and 180 students informed about their hobby as sky watching. There are 110 students who follow both the hobbies. Then how many students do not have any of the two hobbies? How many of them follow the hobby of rock climbing only? How many students follow the hobby of sky watching only?
Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder : $(2m^2 – 3m + 10) ÷ (m – 5)$
→If ABC and BDE are two equilateral triangles such that D is the mid-point of BC, then find $\text{ar}(\triangle\text{ABC}) : \text{ar}(\triangle\text{BDE}).$
→