Home
Class 12
MATHS
If A B is a focal chord of x^2-2x+y-2=0 ...

If `A B` is a focal chord of `x^2-2x+y-2=0` whose focus is `S` and `A S=l_1,` then find `B Sdot`

Text Solution

AI Generated Solution

To solve the problem step by step, we need to find the length \( BS \) given that \( AS = L_1 \) and \( AB \) is a focal chord of the parabola defined by the equation \( x^2 - 2x + y - 2 = 0 \). ### Step 1: Rewrite the parabola in standard form The given equation of the parabola is: \[ x^2 - 2x + y - 2 = 0 \] We can rearrange this to isolate \( y \): ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.34|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.35|1 Videos
  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.32|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

If 2x + y + k - 0 is a focal chord of y^(2) + 4x = 0 then k =

Consider a parabla y^(2)=8x . If PSQ is a focal chord of the parabola whose vertex is A and focus S,V being the middle point of the chord such that PV^(2)=AV^(2)+lamda.AS^(2) where lamda is______

Let PQ be a focal chord of (x^(2))/(9)+(y^(2))/(4)=1 passing through one focus S and S' be its other focus,then the value of semi-perimeter of Delta S'PQ is

If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , then find the other end of the chord.

If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , then find the other end of the chord.

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .

The focal chord of the parabola y^2=a x is 2x-y-8=0 . Then find the equation of the directrix.

A straight line PQ touches the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 and the circle x^(2)+y^(2)=r^(2)(bltrlta) . RS is a focal chord of the ellipse. If RS is parallel to PQ and meets the circle at points R and S. Find the length of RS.

If PQ is a focal chord of the ellipse 25 x 2 ​ + 16 y 2 ​ =1 Which passes through S=(3,0) and PS=2 then length of the chord PQ is equal to

If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , then the length of S Q is (a)6 (b) 4 (c) 3 (d) none of these