Home
Class 12
MATHS
If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 ...

If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ f( −1 ) f( 1 ) f( 2 )   ]=[ 3 a 2 +3a 3 b 2 +3b 3 c 2 +3c   ]   Given f( x ) cuts the x-axis at A, and V is the point of maxima. If AB is any chord which subtends a right angle at V, find curve f( x ) AB  and curve

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

If f:[-1,2]->B is given by f(x)=3x^2 then find B so that f is onto.

If f'(x) = 3x^2 - 4x + 5 and f(1) = 3 then find f(x).

Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>f(3a^2-4a+1), then the possible integers in the range of a is/are 1 (b) 2 (c) 3 (d) 4

The radius of the tangent circle that can be drawn to pass through the point (0, 1) and (0, 6) and touching the x-axis is(a) 5/2 (b)Â 3/2 (c) 7/2 (d) 9/2

If f(x+1/2)+f(x-1/2)=f(x) for all x in R , then the period of f(x) is 1 (b) 2 (c) 3 (d) 4

Let A ={ 1,2,3,4,} and B =N. Let f: A to B be defined by f(x) = x^(2) then. find the range of f

IF f(x) =2x^2 +bx +c and f(0) =3 and f (2) =1, then f(1) is equal to

If [a b c1-a] is an idempotent matrix and f(x)=x-^2=b c=1//4 , then the value of 1//f(a) is ______.

If [[a, b],[ c,1-a]] is an idempotent matrix and f(x)=x-x^2 , bc=1/4 , then the value of 1//f(a) is ______.

If f: RvecR ,g(x)=f(x)+3x-1, then the least value of function y=g(|x|) is a. -9/4 b. -5/4 c. -2 d. -1

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the range of cot^(-1)(2x-x^2)

    Text Solution

    |

  2. Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

    Text Solution

    |

  3. If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ ...

    Text Solution

    |

  4. If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= (a)2sqrt(3)a (b)...

    Text Solution

    |

  5. The value of k(k >0) such that the length of the longest interval ...

    Text Solution

    |

  6. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  7. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

    Text Solution

    |

  8. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

    Text Solution

    |

  9. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

    Text Solution

    |

  10. Indicate the relation which can hold in their respective domain for ...

    Text Solution

    |

  11. If x&lt;0,t h e ntan^(-1)x is equal to

    Text Solution

    |

  12. If -1&lt; x &lt; 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b)...

    Text Solution

    |

  13. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4...

    Text Solution

    |

  14. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+2x y z=1 2...

    Text Solution

    |

  15. If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^...

    Text Solution

    |

  16. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,forx in (-pi/2,(3pi)/2...

    Text Solution

    |

  17. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

    Text Solution

    |

  18. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  19. Complete solution set of tan^2(sin^(-1)x)>1 is (a)(-1,-1/(sqrt(2)))uu...

    Text Solution

    |

  20. The range of the values of p for which the equation sin cos^(-1) ( co...

    Text Solution

    |