Home
Class 12
MATHS
If the radii of the circles (x-1)^2+(y-2...

If the radii of the circles `(x-1)^2+(y-2)^2+(y-2)^2=1` and `(-7)^2+(y-10)^2=4` are increasing uniformly w.r.t. time as 0.3 units/s and 0.4 unit/s, respectively, then at what value of `t` will they touch each other?

A

45s

B

90s

C

11s

D

135s

Text Solution

Verified by Experts

The correct Answer is:
`=>` t=10 or t=90 " " `[:'tgt0]`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 are increasing uniformly w.r.t. times as 0.3 unit/s is and 0.4 unit/s, then they will touch each other at t equal to (a) 45s (b) 90s (c) 10s (d) 135s

If the radii of the circle (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 are increasing uniformly w.r.t. times as 0.3 unit/s is and 0.4 unit/s, then they will touch each other at t equal to 45s (b) 90s (c) 11s (d) 135s

The two circles x^(2)+y^(2)-cx=0 and x^(2)+y^(2)=4 touch each other if:

Let circles (x - 0)^2 + (y - 4)^2 = k and (x - 3)^2 + (y - 0)^2 = 1 touches each other then find the maximum value of 'k'

The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x^(2)+y^(2)-2y-7=0 , is

The point at which the circles x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-12x-10y+45=0 touch each other is

The chord of contact of (3,-1) w.r.t the circle x^(2)+y^(2)+2x-4y+1=0 is

Find the polar of the point (1,2) w.r.t the circle x^2+y^2=7 .

Prove that the circle x^(2)+y^(2)+2x+2y+1=0 and circle x^(2)+y^(2)-4x-6y-3=0 touch each other.