AB is a diameter of a circle. CD is a ch...

AB is a diameter of a circle. CD is a chord parallel to AB and `2CD = AB`. The tangent at B meets the line AC produced at E then AE is equal to -

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE ENGLISH|Exercise All Questions|886 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

AB is a diameter of a circle and AC is its chord such that angleBAC=30^(@) . If the tengent at C intersects AB extended at D, then BC=BD.

Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.

AD is a diameter of a circle and AB is a chord. If AD = 34cm, AB = 30cm, the distance of AB form the centre of the circle is

In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

In Figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that /_A E B = 60^@

In the given figure AB is the diameter and AC is the chord of a circle such that /_BAC=30^(@) . The tangent at C intersects AB produced at D. Prove that :BC=BD.

The given figure shows, AB is a diameter of the circle. Chords AC and AD produced meet the tangent to the circle at point B in points P and Q respectively. Prove that: AB^2 = AC xxAP

AB is the diameter and AC is a chord of a circle with centre O such that angle BAC=30^(@) . The tangent to the circle at C intersects AB produced in D. Show that BC=BD.

A straight line AB is divided at C so that AC=3CB . Circles are described on AC and CB as diameters and a common tangent meets AB produced at D . Show that BD is equal to the radius of the smaller circle.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

A circle of radius 1 unit touches the positive x-axis and the positive...
Text Solution
|
The number of rational point(s) [a point (a, b) is called rational, if...
Text Solution
|
AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...
Text Solution
|
Two parallel tangents to a given circle are cut by a third tangent at ...
Text Solution
|
If the equation of any two diagonals of a regular pentagon belongs ...
Text Solution
|
If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...
Text Solution
|
A B C D is a square of unit area. A circle is tangent to two sides of ...
Text Solution
|
Ba n dC are fixed points having coordinates (3, 0) and (-3,0), respe...
Text Solution
|
A straight line with slope 2 and y-intercept 5 touches the circle x^2+...
Text Solution
|
A pair of tangents is drawn to a unit circle with center at the origin...
Text Solution
|
A line meets the coordinate axes at A and B . A circle is circumscribe...
Text Solution
|
A circle of constant radius a passes through the origin O and cuts the...
Text Solution
|
The equation of the line inclined at an angle of pi/4 to the x-axis ,s...
Text Solution
|
If a circle of constant radius 3k passes through the origin O and me...
Text Solution
|
A straight line l1 with equation x-2y+10=0 meets the circle with equat...
Text Solution
|
Let C be a circle with two diameters intersecting at an angle of 30^0d...
Text Solution
|
If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect ortho...
Text Solution
|
An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...
Text Solution
|
A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...
Text Solution
|
If one of the diameters of the circle x^2+y^2-2x-6y+ 6 = 0 is a chord ...
Text Solution
|