In triangle ABC, line joining the circum...

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tanA tan C is equal to

A

`sqrt(3)`

B

3

C

`3sqrt(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PROPERTIES OF TRIANGLES
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (More than one correct answer Type Questions)|19 Videos
PROPERTIES OF TRIANGLES
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (Matrix Matching Type Questions)|9 Videos
PROPERTIES OF TRIANGLES
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV) (LEVEL-II) (Matrix Matching Type Questions)|2 Videos
PLANES
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
PROPERTIES OF VECTORS
AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , if the straight line joining the circumcentre and incentre is parallel to BC then show that cos B + cos C = 1

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A. If AC=1, then the length of the median of triangle ABC through the vertex A is equal to

In triangle ABC, tan A + tan B + tan C = 6 and tanA tanB = 2, then the values of tan A, tan B, tan C are, respectively:

In Delta ABC , tan A + tan B+ tan C=

P is the circumcenter of an equilateral triangle ABC of side lengh sqrt3 " units then the value of " PA^2+PB^2+PC^2 is

Prove that a line joining the mid points of any two sides of a Triangle is parallel to the third side. (Using Converse of Basis Proportionality theorem)

In triangle ABC, if sinA cos B=1/4 and 3 tanA = tanB, then cot^(2)A is equal to

In triangle ABC, a, b, c are the lengths of its sides and A, B C are the angles of triangle ABC. The correct relation is

AAKASH SERIES-PROPERTIES OF TRIANGLES-ADDITIONAL PRACTICE EXERCISE (LEVEL 1 (MAIN)) (Straight Objective Type Questions)

Let AD be a median of the DeltaABC. If AE and AF are medians of the tr...
Text Solution
|
If H is the orthocentre of a acute-angled triangle ABC whose circumcir...
Text Solution
|
In triangle ABC, line joining the circumcenter and orthocenter is para...
Text Solution
|
A variable triangle ABC is circumscribed about a fixed circle of unit ...
Text Solution
|
In triangle ABC, angleA=60^(@), angle B=40^(@), and angle C=80^(@) If ...
Text Solution
|
In DeltaABC with fixed length of BC, the internal bisector of angle C ...
Text Solution
|
The ratio of the area of a regular polygon of n sides inscribed in a c...
Text Solution
|
In acute-angled DeltaABC, a gt b gt c, Statement-1: r(1) gt r(2) gt ...
Text Solution
|
Statement 1: If the quadrilateral Q(1) formed by joining midpoints of...
Text Solution
|
Suppose a, b, g and d are the interior angles of regular pentagon, he...
Text Solution
|
In a DeltaABC,b=12 units, c=5 units and Delta=30 sq.units. If d is the...
Text Solution
|
The length of the tangents drawn from the vertices A, B, and C to the ...
Text Solution
|
Points D,E are taken on the side BC of a triangle ABC, such that BD=DE...
Text Solution
|
Three circles touch one another externally , The tangents at their poi...
Text Solution
|
In DeltaAEX, T is the midpoint of XE, and P is the midpoint of ET. If ...
Text Solution
|
In triangle ABC. Dis on AC such that AD = BC, BD = DC, angleDBC = 2the...
Text Solution
|
A triangle has sides 6,7 and 8. The line through its incentre parallel...
Text Solution
|
In a triangle ABC if cosAcosB+sinAsin BsinC= then a : b: c=
Text Solution
|
In a triangle ABC, D, E are two points on the side BC such that BD = D...
Text Solution
|
If a = 18, b=24, c= 30 and if l = r2- r1 , m = r3 - r2 , n= r3 - r1 ...
Text Solution
|