Home
Class 12
MATHS
If the point (x(1) +t[x(2)-x(1)], y(1)+t...

If the point `(x_(1) +t[x_(2)-x_(1)], y_(1)+t[y_(2)-y_(1)])` divides the join of `(x_(1), y_(1))` and `(x_(2), y_(2))` internally, then

A

`t lt 0`

B

`0 lt t lt 1 `

C

`t gt 1 `

D

`t =1`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 68|1 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 69|1 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 66|1 Videos

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • COORDINATE SYSTEM (3D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos

Similar Questions

Explore conceptually related problems

The co-ordinates of the mid points joining P(x_1,y_1) and Q(x_2,y_2) is….

If x_(1), x_(2), x_(3) are in A.P. and y_(1), y_(2), y_(3) are in A.P. then the points (x_(1), y_(1)), (x_(2), y_(2)), (x_(3), y_(3))

Knowledge Check

  • The point whose coordinates are x=x_(1)+t(x_(2)-x_(1)), y=y_(1)+t(y_(2)-y_(1)) divides the join of (x, y) and (x_(2), y_(2)) in the ratio

    A
    `(t)/(1+t)`
    B
    `(1+t)/(t)`
    C
    `(t)/(1-t)`
    D
    `(1-t)/(t)`

  • The coordinates of the midpoint joining P(x_(1),y_(1)) and Q(x_(2),y_(2)) is ....

    A
    `((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))`
    B
    `((x_(1)-x_(2))/(2),(y_(1)+y_(2))/(2))`
    C
    `((x_(1)+y_(1))/(2),1)`
    D
    none

  • I : If O is the origin and if A(x_(1),y_(1)), B(x_(2), y_(2)) are two points then OA*OB*cos angleAOB=x_(1)x_(2)+ y_(1)y_(2) II. If O is the origin and if A(x_(1), y_(1)), B(x_(2), y_(2)) are two points then OA*OB * sin angleAOB=x_(1)x_(2)+y_(1)y_(2)

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

    • Similar Questions

    Explore conceptually related problems

    The coordinates of the point which divides the line joining (x_(1),y_(1)) and (x_(2),y_(2))

    If A(x_(1), y_(1)), B(x_(2), y_(2)) then the circumradius of DeltaOAB is

    If x_(1), x_(2), x_(3) as well as y_(1), y_(2), y_(3) are in G.P with same common ratio, then the points P(x_(1), y_(1)), Q(x_(2), y_(2)) and R(x_(3), y_(3))

    If O is the origin and A(x_(1),y_(1)),B(x_(2), y_(2)) are two points then OA*OB*sin angleAOB=

    If O is the origin and if A(x_(1), y_(1)), B(x_(2), y_(2)) are two points then OA*OB*cos angleAOB=

    Home
    Profile