Home
Class 12
MATHS
Using the properties of determinats, sho...

Using the properties of determinats, show that `|(y+k,y,y),(y,y+k,y),(y,y,y+k)|=k^(2)(3y+k)`

Promotional Banner

Topper's Solved these Questions

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -C|78 Videos

  • HP BOARD MARCH 2017

    OMEGA PUBLICATION|Exercise SERIES -C|78 Videos

  • DIFFERENTIAL EQUATIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |44 Videos

  • INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs) |52 Videos

Similar Questions

Explore conceptually related problems

Prove that : |[y+k,y,y],[y,y+k,y],[y,y,y+k]|=k^2(3y+k).

By using properties of determinants, show that : |[x+y+2z,x,y],[z,y+z+2x,y],[z,z,z+x+2y]| = 2(x+y+z)^3

If x != y != z and |[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,1+z^3]]|=0 then using properties of determinants, show that xyz= -1.

An equilateral triangle has each side to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinat |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|^2 equals

If x=sint,y=sinKt then show that (1-x^(2))y_2-xy_(1)+K^(2)y=0 .

Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k=0.

OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -B
  1. Show that "sin"^(-1)8/17+"sin"^(-1)3/5="tan"^(-1)77/36

    Text Solution

    |

  2. Express "tan"^(-1)x/(sqrt(a^(2)-x^(2))),|x|lta in the simples form

    Text Solution

    |

  3. Using the properties of determinats, show that |(y+k,y,y),(y,y+k,y),(y...

    Text Solution

    |

  4. Find (dy)/(dx) if sin^(2)y+cosxy=pi

    Text Solution

    |

  5. If =3e^(2x)+2e^(3x) then prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0

    Text Solution

    |

  6. Evlauate int(x+1)sqrt(2x^(2)+3)dx

    Text Solution

    |

  7. Evaluate int(xe^(x))/((1+x)^(2))dx

    Text Solution

    |

  8. Evaluate int(0)^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

    Text Solution

    |

  9. Solve differential equation(dy)/(dx)+secxy=tanx(0lexle(pi)/2)

    Text Solution

    |

  10. Solve the differential equation ylogydx-xdy=0

    Text Solution

    |

  11. Show that the points A(3,2,1),B(4,5,5),C(4,2,-2) and D(6,5,-1) are cop...

    Text Solution

    |

  12. Find the angle between the pair of lines vecr=2hati-5hatj+hatk+lamda(...

    Text Solution

    |

  13. Assume that each child born is equally likely to be a boy or a girl. I...

    Text Solution

    |

  14. Find the probabiltiy distribution of number of tails in the simultaneo...

    Text Solution

    |

  15. A and B throw a die alternatively till one of them gets a ‘6’ and wins...

    Text Solution

    |

  16. Solve the following system of linear equations by matrix method: x - y...

    Text Solution

    |

  17. Find the equations of the tangent and normal to the parabola y^(2)=4ax...

    Text Solution

    |

  18. Find two positive numbers x and y such that their sum is 35 and produc...

    Text Solution

    |

  19. Find the area of the region bounded by x^(2)=4y, y=2, y=4 and y-axis t...

    Text Solution

    |

  20. Find the area of the region bounded by two parabolas y=x^(2) and y^(2...

    Text Solution

    |