Home
Class 14
MATHS
Let ABC be a triangle in which angle ACB...

Let ABC be a triangle in which `angle ACB = 60^(@) and AC = x lt BC`. Let the circle with centre at C and radius x meet BC at D. Let CF be the perpendicular drawn from C meeting AD at F.
Statement-I :
Triangle ACD is isosceles but not equilateral
Statement-II :
DF = x/2
Which one of the following is correct in respect of the above statements?

A

Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement ?

B

Statement- and Statement-II are correct and Statement-II is not the correct explanation of Statement-I

C

Statement- is correct and Statement-II is incorrect

D

Statement-I is incorrect and Statement-II is correct

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Let the incircle to a triangle ABC touch BC, AC and AB respectively at the points X, Y and Z. Statement-I : If AB gt BC , then AB+ AZ lt BC+ XC Statement-II : AZ = AY Which one of the following is correct in respect of the above statements?

In a triangle ABC, AD is perpendicular to BC and BE is perpendicular to AC. Which one of the following is correct ?

Let the bisector of the angle BAC of a triangle ABC meet BC in X. Which one of the following is correct?

Let the triangles ABC and DEF be such that angleABC = angleDEF, angleACB = angleDFE and angleBAC = angleEDF . Let L be the midpoint of BC and M be the midpoint of EF. Consider the following statements : Statement I: Triangles ABL and DEM are similar. Statement II : Triangle ALC is congruent to triangle DMF even if AC ne DF . Which one of the following is correct in respect of the above statements?

The median BD of the triangle ABC meets AC at D. If BD = 1/2AC , then which one of the following is correct ?

ABC is a triangle and D is the mid-point of BC .The perpendiculars from D to AB and AC are equal.Prove that the triangle is isosceles.

ABC is an isosceles triangle such that AB=BC=8cm and angle ABC=90^@ What is the length of the perpendicular drawn from B to AC?

Let ABC be a triangle such that AB = 15 and AC = 9. The bisector of angleBAC meets BC in D. If angleACB = 2angleABC , then BD is