Home
Class 12
MATHS
Tangents are drawn to the parabola (x-3)...

Tangents are drawn to the parabola `(x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25)` at the extremities of the chord `2x-3y-18=0` . Find the angle between the tangents.

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow these steps: ### Step 1: Identify the parabola and the chord The given equation of the parabola is: \[ (x-3)^2 + (y+4)^2 = \frac{(3x - 4y - 6)^2}{25} \] The equation of the chord is: ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.62|2 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.63|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.60|1 Videos
  • PAIR OF STRAIGHT LINES

    CENGAGE ENGLISH|Exercise Numberical Value Type|5 Videos
  • PERMUTATION AND COMBINATION

    CENGAGE ENGLISH|Exercise Comprehension|8 Videos

Similar Questions

Explore conceptually related problems

Tangents are drawn to the circle x^2+y^2=12 at the points where it is met by the circle x^2+y^2-5x+3y-2=0 . Find the point of intersection of these tangents.

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Find the point of intersection of these tangents.

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 Tangents drawn to the parabola at the extremities of the chord 3x+2y=0 intersect at angle

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 Tangents drawn to the parabola at the extremities of the chord 3x+2y=0 intersect at what angle ?

Tangents are drawn from a point on the circle x^(2)+y^(2)-4x+6y-37=0 to the circle x^(2)+y^(2)-4x+6y-12=0 . The angle between the tangents, is

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

The angle between the tangents to the parabola y^(2)=4ax at the points where it intersects with the line x-y-a= 0 is

Statement I Two tangents are drawn from a point on the circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , then angle between tangents is (pi)/(3) Statement II x^(2)+y^(2)=50 is the director circle of x^(2)+y^(2)=25 .

Find a point on the parabola y=(x-3)^2 , where the tangent is parallel to the chord joining (3, 0) and (4, 1).