A circle (x-2)^2+(y-3)^2=16 is given for...

A circle `(x-2)^2+(y-3)^2=16` is given for which two lines `L_1:2x+3y=7` and `L_2:3x+2y=11` act as chords . If infinitely more chords are drawn parallel to `L_1` and `L_2`. A curve is drawn by joining mid points of chords parallel to `L_1` and another curve is drawn by joining mid points of chords parallel to `L_2`.
(Both the curves are then extended on both sides) , then the acute angle between the curves at the point of their intersection is

A

`pi/2`

B

`tan^(-1)(5/12)`

C

`tan^(-1)(7/12)`

D

`pi/6`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

CIRCLE
FIITJEE|Exercise Assignment Problems (Objective) Level -II|15 Videos
CIRCLE
FIITJEE|Exercise COMPREHENSIONS|8 Videos
CIRCLE
FIITJEE|Exercise Assignment Problems (Subjective ) Level -II|13 Videos
AREA
FIITJEE|Exercise Numerical Based|3 Videos
COMPLEX NUMBER
FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

Find a point on the curve y = x^(3) , where the tangent to the curve is parallel to the chord joining the points (1, 1) and (3, 27)

From (3,4) chords are drawn to the circle x^(2)+y^(2)-4x=0. The locus of the mid points of the chords is :

The chord joining the points where x = p and x = q on the curve y = ax^(2)+bx+c is parallel to the tangent at the point on the curve whose abscissa is

if the line 4x+3y+1=0 meets the parabola y^(2)=8x then the mid point of the chord is

Using Lagranges mean value theorem,find a point on the curve y=sqrt(x-2) defined on the interval [2,3] where the tangent is parallel to the chord joining the end points of the curve.

Find the points on the curve y = x^(3) - 3x , where the tangent to the curve is parallel to the chord joining (1, -2) and (2, 2)

On the curve y= x^(3) , the point at which the tangent line is parallel to the chord through the point (-1,-1) and (2,8) is

FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I

If the length of the tangents from any point on the circle 15x^(2)+15y...
Text Solution
|
) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...
Text Solution
|
The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of
Text Solution
|
The centers of a set of circles, each of radius 3, lie on the circle x...
Text Solution
|
The chords of contact of the pair of tangents drawn from each point on...
Text Solution
|
Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+...
Text Solution
|
Find the number of common tangents that can be drawn to the circles...
Text Solution
|
Equation of the straight line meeting the cirle with centre at origin ...
Text Solution
|
If y=f(x)=ax+b is a tangent to circle x^2+y^2+2x+2y-2=0 then the value...
Text Solution
|
Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...
Text Solution
|
Three parallel chords of a circle have lengths 2,3,4 units and subtend...
Text Solution
|
A variable point P is on the circle x^2+y^2=1 on XY-plane. From point...
Text Solution
|
The equation of chord AB of the circle x^2+y^2=r^2 passing through t...
Text Solution
|
Two circle S1=0,S2=0 of equal radius 'r' intersect such that one circl...
Text Solution
|
Two circles are given as x^2+y^2+14x-6y+40=0 and x^2+y^2-2x+6y+7=0 wi...
Text Solution
|
A variable line ax+by+c=0 , where a, b, c are in A.P. is normal to a c...
Text Solution
|
Let BC to be chord of contact of the tangents from a point A to the ci...
Text Solution
|
A circle (x-2)^2+(y-3)^2=16 is given for which two lines L1:2x+3y=7 a...
Text Solution
|
Statement-1:If the line y=x+c intersects the circle x^2+y^2=r^2 in two...
Text Solution
|
Statement-1: The circle of smallest radius passing through two given p...
Text Solution
|