Home
Class 12
MATHS
P = (-5, 4) and Q = (-2, -3). If bar(PQ)...

P = (-5, 4) and Q = (-2, -3). If `bar(PQ)` is produced to R such that P divides `bar(QR)` externally in the ratio `1:2`, then R is

A

(1, 10)

B

(1, -10)

C

(10, 1)

D

(2, -10)

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 61|1 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 62|1 Videos

  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 59|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 position vector of the points P, Q, R, S are bar(i)+bar(j)+bar(k), 2bar(i)+5bar(j), 3bar(i)+2bar(j)-3bar(k) and bar(i)-6bar(j)-bar(k) respectively. Prove that bar(PQ) and bar(RS) are parallel and find the ratio of their lengths.

If P(-2,4,-5) and Q(1,2,3) are two points. Find the direction cosines of bar(PQ)

Knowledge Check

  • If the line segment joining the points P (2,4,1) and Q (3,8,1) is divided by the plane 3x -ky-6z=0 externally in the ratio 4 :5, then k =

    A
    `-1`
    B
    1
    C
    2
    D
    3

    • Similar Questions

    Explore conceptually related problems

    Consider two points P and Q with position vectors OP = 3a - 2b and OQ = a + b . Find the position vector of a point R which divides the line joining P and Q in the ratio 2 , 1 externally

    Consider two points P and Q with position vectors OP = 3a - 2b and OQ = a + b . Find the position vector of a point R which divides the line joining P and Q in the ratio 2 , 1 Internally and

    A = (2, 4, 5) and B=(3, 5, -4) are two points. If the xy-plane, yz-plane divide AB in the ratios a:b, p:q respectively then (a)/(b)+(p)/(q)=

    O is the origin, P(2, 3, 4) and Q(1, K, 1) are points suc that bar(OP) bot bar(OQ) . Find k.

    Consider two points P and Q with position vectors bar(OP) = 3bar(a) - 2bar(b) and bar(OQ) = bar(a)+bar(b) . Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1 externally.

    Consider two points P and Q with position vectors bar(OP) = 3bar(a) - 2bar(b) and bar(OQ) = bar(a)+bar(b) . Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1 (i) internally.

    In the space A(bar(a)) is a point and bar(b) is a vector. If P(bar(r )) is any point such that bar(r ) xx bar(b) = bar(a) xx bar(b) then show that locus of P is a straight line.

    Home
    Profile