### 17 Jun

In the last few years, Geometry has become a highly important area for students engaged in SSC exam preparation. Without mastering Geometry, it is not possible to get a good score in Quantitative Aptitude section of the exam. One can easily expect around 10 to 15 questions from this area. Although these questions can be really scoring, yet many students don’t feel all that comfortable while attempting them.

However, such a situation can be avoided. Learning concepts and shortcuts from the institute providing the Best SSC Exam Coaching in Delhi can help you perform much better in Geometry. In this regard, you must carefully follow the content provided below.

Tips & Tricks: Angle Bisector, In-centre & In-radius

Question – 1: If ‘I’ is the in-centre of triangle ABC & ∠A = 50 degrees, then find the value of angle BIC (1) 25° (2) 115° (3) 105° (4) 80°

Solution: (2)

Question – 2: If ‘I’ is the in-centre of triangle ABC & ⦟ BIC = 135°, then triangle ABC is a / an (1) acute angle triangle (2) equilateral triangle (3) right angled triangle (4) obtuse angle triangle

Solution: (3)

Question – 3: Internal bisectors of ∠B and ∠C of a triangle ABC meet at O. If ∠BAC = 80°, then the value of angle BOC is (1) 120° (2) 140° (3) 110° (4) 130°

Solution: (4)

Question – 4: In a triangle ABC, the in centre is ‘O’ and ⦟ BOC = 110°. In such a case, the measure of ⦟A is (1) 20° (2) 40° (3) 55° (4) 110°

Solution: (2)

Question – 5: In a triangle ABC, AD is the internal bisector of ∠A meeting the side BC at D. If BD = 5 cm and BC = 7.5 cm, then AB : AC is (1) 2:1 (2) 1:2 (3) 4:5 (4) 3:5

Solution: (1)

Question – 6: In a triangle ABC, AB = 5 cm and AC = 7 cm. If AD is the angle bisector of angle A, then BD : CD is (1) 25 : 49 (2) 49 : 25 (3) 6 : 1 (4) 5 :7

Solution: (4)

Question – 7: The length of all sides of an equilateral triangle is 14√3 cm. The area of the in-circle, in cm2, is (1) 450 (2) 308 (3) 154 (4) 77

Solution: (3)

Question – 8: What is the area of the incircle of an equilateral triangle having sides of length 42 cm each? (1) 231 (2) 462 (3) 223 (4) 924

Solution: (2)

Question – 9: The radius of the in circle of a triangle is 2 cm. If the area of the triangle is 6 cm2, then its perimeter is (1) 2 cm (2) 3 cm (3) 6 cm (4) 9 cm

Solution: (3)

Area of the triangle = in radius of the triangle × semi perimeter

6 = 2 × semi perimeter

OR semi perimeter = 6/2 = 3 cm

So, its perimeter = 3×2 = 6 cm

Now that you have acquired the understanding of concepts related to Angle Bisector, In-centre and In-radius, you can practice further for better speed and accuracy. The study material provided at classes for SSC and Bank Exam Coaching in Delhi is most suitable for such a purpose. In addition to it, you must attempt full length mock tests so that you are well prepared to face the CGL (combined graduate level exam).

Summary

This article specifically focuses on Geometry from the perspective of an SSC exam. To learn more from Vidya Guru Experts and to get your doubts cleared, you can write to vidyagurudelhi@gmail.com.