Home
Class 12
MATHS
If A-=(p,q,r) and B-=(p^('),q^('),r^('))...

If `A-=(p,q,r)` and `B-=(p^('),q^('),r^('))` are two points on the line `lamdax=muy=vz` and `OA=a,OB=b` where `O` is origin then the value of `(pp^(')+qq^(')+rr^('))` is equal to

A

`a+b`

B

`ab`

C

`sqrt(a^(2)-b^(2))`

D

`-ab`

Text Solution

Verified by Experts

The correct Answer is:
B, D


as `lamdax=muy=v4`
passing through origin
`overline(OA).overline(OB)=|overline(OA)|.|overline(OB)|.costheta(becausetheta=0,pi`
`|overline(OA).overline(OB)|=a.b`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise PART : 1MATHEMATICS SEC - 1|1 Videos
  • TEST PAPERS

    RESONANCE|Exercise PART : 1MATHEMATICS|9 Videos
  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos
  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

If A(p,q,r) and B=(p',q',t') are two points on the line lambda x=mu y=gamma z such that OA=3.OB=4 then pp'+qq'+rr' is equal to

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

If the p^(th), q^(th) and r^(th) terms of a G.P are a,b,c respectively then the value of a^(q-r).b^(r-p).c^(p-q)=

If p^(a)=q^(b)=r^(c)=s^(d) and p,q,r,s are in G.P then a,b,c,d are in

If the centroid of the triangle formed by points P(a,b),Q(b,c) and R(c,a) is at the origin, what is the value of a+b+c?

RESONANCE-TEST PAPERS-MATHEMATICS
  1. If A-=(p,q,r) and B-=(p^('),q^('),r^(')) are two points on the line la...

    Text Solution

    |

  2. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. If f(x)=x+tanx and g(x) is inverse of f(x) then g^(')(x) is equal to

    Text Solution

    |

  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

    Text Solution

    |

  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

    Text Solution

    |

  11. is The function f(x)=(x^2-1)|x^2-3x+2|+cos(|x|) is differentiable not ...

    Text Solution

    |

  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  14. Let f(x)=x^(3)-x^(2)+x+1 and g(x)={("max "f(t) 0letlex 0lexle1),(3-x 1...

    Text Solution

    |

  15. The value(s) of x satisfying tan^(-1)(x+3)-tan^(-1)(x-3)=sin^(-1)(3/5)...

    Text Solution

    |

  16. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  19. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  21. If y+a=m(1)(x+3a),y+a=m(2)(x+3a) are two tangents to the parabola y^(2...

    Text Solution

    |