हिंदी

If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other. - Mathematics

Advertisements
Advertisements

प्रश्न

If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Explanation:

If one angle of a triangle is kept fixed, then the measure of the remaining two angles can’t vary inversely with each other.

E.g. In ΔABC, ∠A + ∠B + ∠C = 180°  ...[∵ Sum of all angles of a triangle is 180°]

If ∠A = 50°, then ∠B + ∠C = 180° – 50° = 130°

So, it is not depending on any proportion by applying angle sum properties of a triangle.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Direct and Inverse Proportions - Exercise [पृष्ठ ३२१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 10 Direct and Inverse Proportions
Exercise | Q 53. | पृष्ठ ३२१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Which of the following are in inverse proportion?

The number of workers on a job and the time to complete the job.


Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:

Number of spokes 4 6 8 10 12
Angle between a pair
of consecutive spokes
90° 60° ... ... ...
  1. Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
  2. Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
  3. How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?

In which of the following table x and y vary inversely: 

x 9 24 15 3
y 8 3 4 25

It x and y vary inversely, fill in the following blank:

x 9 ... 81 243
y 27 9 ... 1

Which of the following quantities vary inversely as other?

The number of x men hired to construct a wall and the time y taken to finish the job.


In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?


Meena had enough money to send 8 parcels each weighing 500 grams through a courier service. What would be the weight of each parcel, if she has to send 40 parcels for the same money?


Both x and y are said to vary ______ with each other if for some positive number k, xy = k.


Write whether the following statement vary directly, vary inversely with each other, or neither of the two.

The time taken by a train to cover a fixed distance and the speed of the train.


A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×