Home
Class 12
MATHS
If (sqrt2 cos x + sqrt2 sin x + sqrt7) m...

If `(sqrt2 cos x + sqrt2 sin x + sqrt7) m =1` holds then

A

greatest negative integral values of m is -1

B

least positive integral value of m is 5

C

no integral vlaue of m exists

D

`m in (-7,-1) uu (1, oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If sin x + cos x = sqrt2 * c os x, "then : cos x - sin x = ...... A) sqrt2* cos x B) sqrt2* sin x C) sqrt2* (cos x +sinx) D)none of these

If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 (ii) If "sin" x + cos x =sqrt(2) cos x show that: sqrt2 sin x = cos x - sin x

If sin x+ cos x = sqrt2 sin x , then the value of tan x is:

sin x + cos x = sqrt (2) cos A

If y=sqrt(sin x+sqrt(sin x +sqrt(sin x+....oo))) " then prove that " dy/dx = cos x /(2y-1).

The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "sin" x = sqrt(2) + sqrt(2-a) has a solution is

If int sqrt2 sqrt (1 + sin x ) dx =- 4 cos (ax +b)+C then the value of (a,b) is :

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...

    Text Solution

    |

  2. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

    Text Solution

    |

  3. Let A be the area between co-ordinate axis, y ^(2) =x -1,x ^(2) =y -1 ...

    Text Solution

    |

  4. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  5. Consider the ellipse x^2/3 + y^2/1 = 1. Let P,Q,R,S be four points on ...

    Text Solution

    |

  6. If the curve (x ^(2))/(a ^(2)) + ( y ^(2))/(k^(2) a ^(2)) =1 and (x -g...

    Text Solution

    |

  7. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

    Text Solution

    |

  8. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |

  9. sin x + cos x = y ^(2) -y + a has no value of x for any y if 'a' belon...

    Text Solution

    |

  10. The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+...

    Text Solution

    |

  11. An electric pole stands at the vertex A of the equilateral triangular ...

    Text Solution

    |

  12. A pole on the ground leans 60^(@) to the vertical. At a point a meters...

    Text Solution

    |

  13. A 10 meters high tower is standing at the center of an equilateral tri...

    Text Solution

    |

  14. A spherical baloon of radius 50 cm, subtends an angle of 60^(@) at a m...

    Text Solution

    |

  15. PQ is a post of height a, AB is a tower of height h at a distance x fr...

    Text Solution

    |

  16. For each n in N, the correct statement is

    Text Solution

    |

  17. If P (n) = 2 + 4 + 6+…+ 2n, n in N then P(k) = k (k +1) + 2 implies P...

    Text Solution

    |

  18. For every positive integral value of n, 3 ^(n) gt n^(3) when

    Text Solution

    |

  19. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |

  20. The value of the natural numbers n such that 2 ^(n) gt 2n +1 is valid...

    Text Solution

    |