Home
Class 12
MATHS
The number of possible value of theta li...

The number of possible value of `theta` lies in `(0,pi)`, such that system of equation `x+3y+7z=0, -x+4y+7z=0, xsin3theta+ycos2theta+2z=0` has non trivial solution is/are equal to (a) 2 (b) 3 (c) 5 (d) 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z = 0 has non-trivial solution if a, b, c are in

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )

The number of integral values of a for which the system of linear equations x sin theta -2 y cos theta -az=0 , x+2y+z=0,-x+y+z=0 may have non-trivial solutions, then

The number of integral value(s) of k such that the system of equations kz-2y-z=x, ky-z=z+3x and 2x+kz=2y-z has non - trivial solution, is/are

Number of values of theta lying I [0,100 pi ] for which the system of equations (sin 3 theta ) x-y+z=0, (cos 2 theta ) x+4y +3z=0, 2x+ 7y+7z =0 has non-trivial solution is "____"

If the system of equations x-ky+3z=0, 2x+ky-2z=0 and 3x-4y+2z=0 has non - trivial solutions, then the value of (10y)/(x) is equal to

Find a in R for which the system of equations 2ax-2y+3z=0 , x+ay + 2z=0 and 2x+az=0 also have a non-trivial solution.

Prove that the system of equations in xa +y+z=0 , x +by +z=0 , x +y+cz=0 has a non - trivial solution then 1/(1-a) + 1/(1-b)+ 1/(1-c)=

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. The value of lambda for which the sum of squares of roots of the equat...

    Text Solution

    |

  2. A plane bisects the line segment joining (-3,-3,4) and (3,7,6) and als...

    Text Solution

    |

  3. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  4. If int(0)^(x)f(t)dt=x^2+int(x)^(1)\ t^2\ f(t)dt, then f((1)/(2)) is eq...

    Text Solution

    |

  5. Which of the following line is passing through point of intersection o...

    Text Solution

    |

  6. If a1,a2,...,a(10) are in G.P, where aigt0 and S is a set of ordered p...

    Text Solution

    |

  7. Given three statements P: 5 is a prime number, Q : 7 is a factor of 19...

    Text Solution

    |

  8. the value of cos((pi)/(2^2))cos((pi)/(2^3))cos((pi)/(2^4)) .....cos((...

    Text Solution

    |

  9. If coefficient of x^2 is expansion of x^2(sqrtx+(lamda)/(x^2))^(10) is...

    Text Solution

    |

  10. If f:NrarrN is given by f(x)={((x+1)/(2), if x " is odd"),((x)/(2),if ...

    Text Solution

    |

  11. Area bounded between the curves x^2=4y and x=4y-2 (in square units) is...

    Text Solution

    |

  12. If int sqrt(1-x^2)/x^4dx=A(x).(sqrt(1-x^2))^m where A(x) is a function...

    Text Solution

    |

  13. The value of int(-2)^2 (sin^2x)/([x/pi]+1/2) dx is where [*] =G.I.F ...

    Text Solution

    |

  14. Evaluate lim(x-gt0) (tan(pisin^2 x)+(|x|-sin(x[x]))^2)/x^2 , where [*...

    Text Solution

    |

  15. Let f(x)={(-1, -2lexlt0),(x^2-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) then ...

    Text Solution

    |

  16. Out of 30 observation 10 are 1/2+d, 10 are 1/2 and other 10 are 1/2-d ...

    Text Solution

    |

  17. The equation of common tangent to the curves y^2 =4x and xy=2 is ...

    Text Solution

    |

  18. If fk(x)=1/k(sin^kx+cos^kx) then f4(x)-f6 (x)= (A) 1/12 ...

    Text Solution

    |

  19. A square is incribed in a circle x^2+y^2-6x+8y-103=0 such that its sid...

    Text Solution

    |

  20. If q is false and (p ^^ q) harr r is also true then which of the follo...

    Text Solution

    |