Home
Class 14
MATHS
Instruction : Answer the questions given...

Instruction : Answer the questions given below on the basis following figure.

A and B are centres of the circles whose radii are respectively `r_1 and r_2` PNM is a direct common tangent touching the circles respectively at M and N.
Length of MN is

A

A)`sqrt( d^(2) - ( r_1 -r_2)^2) `

B

B)`sqrt( d^(2) + (r_1 - r_2)^2)`

C

C)`d^(2) - ( r_1 - r_2)^2`

D

D)`d+ sqrt( (r_1 - r_2)^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos

  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos

  • CENTRE OF TRIANGLE

    LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

Similar Questions

Explore conceptually related problems

A and B are the centers of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P and Q respectively. If AB = 13 cm, then the length of PQ is:

A and B are centres of two circles whose radii are 5 cm and 2 cm respectively. The direct common tangent meets the extended AB point P. The P divides the AB-

Knowledge Check

  • Instruction : Answer the questions given below on the basis following figure. MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively r_1 and r_2 . Length of AB is d. Length of MN is

    A
    `sqrt( d^(2) - ( r_1 + r_2)^2)`
    B
    `sqrt( d^(2) - (r_1 - r_2)^2)`
    C
    `sqrt( d^(2) + ( r_1 + r_2)^2)`
    D
    `sqrt( d^2 + (r_1 + r_2)^2)`

  • Instruction : Answer the questions given below on the basis following figure. MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively r_1 and r_2 . Length of AB is d. Length of AQ is

    A
    1. `(r_1 d)/( r_1 - r_2)`
    B
    2. `( r_2 d)/( r_1 - r_2)`
    C
    3. `( r_1 d)/( r_1 + r_2)`
    D
    4. `(r_2 d)/( r_1 + r_2)`

  • Instruction : Answer the questions given below on the basis following figure. MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively r_1 and r_2 . Length of AB is d. Length of BQ is

    A
    1. `(r_1 d)/( r_1 - r_2)`
    B
    2. `( r_2 d)/( r_1 - r_2)`
    C
    3. `(r_1 d)/( r_1 + r_2)`
    D
    4. `(r_2 d)/( r_1 + r_2)`

    • Similar Questions

    Explore conceptually related problems

    Instruction : Answer the questions given below on the basis following figure. MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively r_1 and r_2 . Length of AB is d. Distance between point Q and N is

    Instruction : Answer the questions given below on the basis following figure. MN is a transverse common tangent. A and B are centres of the circles whose radii are respectively r_1 and r_2 . Length of AB is d. Distance between point Q and M is

    A and B are centres of the two circles whose radii are 5 cm and 2 cm respectively. The direct common tangents to the circles meet AB extended at P.Then p divides AB

    Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then /_PAQ =

    Two circles touch each other externally at a point P and a direct common tangent touches the circles at the points Q and R respectively. Then angle QPR is

    Home
    Profile