Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Triangles

Short Answer Type

501. In figure, AB > AC, BO and CO are the bisectors of ∠B and ∠C respectively. Show that OB > OC.

1077 Views

502.

In the given figure, ∠ABD = 130° and ∠EAC = 120°. Prove that AB > AC.

315 Views

503. If AD is the bisector of ∠A of ∆ ABC, show that AB > DB.

Given: AD is the bisector of ∠A of ∆ABC
To Prove: AB > DB
Proof: In ∆ADC,

Ext. ∠ADB = ∠DAC + ∠ACD
An exterior angle of a triangle is equal to the sum of its two interior opposite angles
⇒ ∠ADB > ∠DAC
⇒ ∠ADB > ∠DAB
| ∵ AD is the bisector of ∠A ∠DAB = ∠DAC
∴ AB > DB
| Side opposite to greater angle is longer.

111 Views