Home
Class 11
MATHS
A vector oversetrarra has components 2p ...

A vector `oversetrarra` has components 2p and 1 with respect to a rectangular Cartesian system, this system is rotated through a certain clockwise sense, if we write the new system `oversetrarr a` has components (p+1) and 1 then

A

p=0

B

p=1

C

p=-1/3

D

p=-1

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

A vector has component A_1, A_2a n dA_3 in a right -handed rectangular Cartesian coordinate system O X Y Zdot The coordinate system is rotated about the x-axis through an angel pi//2 . Find the component of A in the new coordinate system in terms of A_1, A_2, a n dA_3dot

the mirror image of point (3,1,7) with respect to the plane x-y+z=3 is P . then equation plane which is passes through the point P and contains the line x/1=y/2=z/1 .

The axes of coordinates are rotated about the z-axis through an angle of pi//4 in the anticlockwise direction and the components of a vector are 2sqrt2, 3sqrt2, 4 . Prove that the components of the same vector in the original system are -1, 5, 4 .

This graph expresses the various steps of the system containing 1 mol of gas. Which type af process system has when it moves from C to A?

Line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q . Then (a) a^2+b^2=p^2+q^2 (b) 1/(a^2)+1/(b^2)=1/(p^2)+1/(q^2) (c) a^2+p^2=b^2+q^2 (d) 1/(a^2)+1/(p^2)=1/(b^2)+1/(q^2)

A variable line passes through a fixed point (x_(1),y_(1)) and meets the axes at A and B. If the rectangle OAPB be completed, the locus of P is, (O being the origin of the system of axes)

In a reversible process, if changes in entropy of the system and its surroundings are DeltaS_(1) & DeltaS_(2) respectively, then-

A circular coil of N turns is made of a conducting wire of a certain length . When a current I is sent through it , the magnetic moment is p , Another coil of 2N turns is made with the same wire and the same current is sent through it . The magnetic moment becomes p'. If p : p ' = n : 1 , what is the value of n ?

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. Two lines are given by (x-2y)^2+k(x-2y)=0. The value of k so that the ...

    Text Solution

    |

  2. Let L1-=ax+by+aroot(3)(b)=0 and L2-=bx+ay+aroot(3)(a)=0 be two straigh...

    Text Solution

    |

  3. A vector oversetrarra has components 2p and 1 with respect to a rectan...

    Text Solution

    |

  4. If a^2-b^2-c^2-2ab=0, then the family of lines ax+by+c=0 are concurren...

    Text Solution

    |

  5. A(x1,y1),B(x2,y2),C(x3,y3) are the vertices of a triangle ABC. lx+my+n...

    Text Solution

    |

  6. A(x1,y1),B(x2,y2),C(x3,y3) are the vertices of a triangle ABC. lx+my+n...

    Text Solution

    |

  7. Let f1(x,y)-=ax^2+2hxy+by^2=0 and let f(i+1)=0 denotes the equation of...

    Text Solution

    |

  8. Let f1(x,y)-=ax^2+2hxy+by^2=0 and let f(i+1)=0 denotes the equation of...

    Text Solution

    |

  9. For points P-=(x1y1) and Q-=(x2,y2) of the coordinate plane, a new dis...

    Text Solution

    |

  10. For points P-=(x1y1) and Q-=(x2,y2) of the coordinate plane, a new dis...

    Text Solution

    |

  11. If triangle denotes the area of the triangle with vertices (p+1, 1), (...

    Text Solution

    |

  12. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  13. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  14. Given that shortest distance of the bisector of xy = 0 from the point ...

    Text Solution

    |

  15. If the point P[X1+t(X2-X1),y1+t(y2-y1] divides AB internally where (X1...

    Text Solution

    |

  16. A line is such that its segment between the lines 5x-y-4=0 and 3x+4y-4...

    Text Solution

    |

  17. Point A is symmetric to B(4,-1) with respect to the bisector of the 1...

    Text Solution

    |

  18. If 'k' is the ordinate of the point P on the line 3x+2y+10=0 such that...

    Text Solution

    |

  19. The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y ...

    Text Solution

    |

  20. If x^2-3xy+lambda y^2+3x-5y+2=0,represent a pair of straight lines, th...

    Text Solution

    |