Home
Class 12
MATHS
If a, b, c be the pth, qth and rth terms...

If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear.

Answer

Step by step text solution for If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise EXERCISE : 7|1 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are the pth,qth,rth terms, respectively,of an HP,show that the points (bc,p),(ca,q), and (ab,r) are collinear.

If a,b,c are the pth,qth,rth terms, respectively,of an HP, show that the points (bc,p),(ca,q), and (ab,r) are collinear.

Knowledge Check

  • If a, b, c be respectively the pth, qth and rth terms of an H.P., then bc(q - r) + ca(r - p) + ab( p - q) =

    A
    0
    B
    1
    C
    -1
    D
    none

  • If a,b,c be the pth , qth and rth terms of an A.P., then p(b-c) + q(c-a) + r(a-b) equals to :

    A
    0
    B
    1
    C
    3
    D
    `(abc)/(pqr)`

    • Similar Questions

    Explore conceptually related problems

    If a,b,c be the pth, qth and rth term respectively of H.P. show that the vectors bc veci+pvecj+veck, ca veci+q vecj+veck and ab veci+r vecj+veck are coplanar.

    If a, b, c are the pth, qth, rth terms respectively of an H.P. , then the lines bcx + py+1=0, cax + qy+1=0 and abx+ry+1=0 (A) are concurrent (B) form a triangle (C) are parallel (D) none of these

    If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(bc,p,1),(ca,q,1),(ab,r,1)|= (A) 0 (B) 1 (C) -1 (D) none of these

    If a,b,c, be the pth, qth and rth terms respectivley of a G.P., then the equation a^q b^r c^p x^2 +pqrx+a^r b^-p c^q=0 has (A) both roots zero (B) at least one root zero (C) no root zero (D) both roots unilty

    If a,b,c are positive and are the pth, qth and rth terms respectively of a G.P., the the value of |(loga, p, 1),(logb, q, 1),(logc, r, 1)|= (A) 1 (B) pqr(loga+logb+logc) (C) 0 (D) a^pb^qc^r

    If a,b,and c are positive and are the pth, qth and rth terms respectively of a GP. Show without expanding that |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0

    Home
    Profile