Home
Class 12
MATHS
Let ! "-be" an opertion on p and q defin...

Let ! "-be" an opertion on p and q defined as `q!p=p^(2)-4pq+q^(2)`. If x!1= -3, what is the value of x!(x+1)?

A

-11

B

-11

C

2

D

61

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PASSPORT TO ADVANCED MATH

    ENGLISH SAT|Exercise Grib-In|29 Videos
  • PARAMETRIC EQUATIONS

    ENGLISH SAT|Exercise EXERCISES|3 Videos
  • PIECEWISE FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|8 Videos

Similar Questions

Explore conceptually related problems

The function p is defined as p(x)= x^2-3x . If the function q is defined as q(x)=p(x)-4, what is the value of q(10)?

If p (x) = x ^(2) -4x+8 and q 9x)=x-3, what is the value of (q (p (5)))/(p (q (5))) ?

Let leftrightarrow be an operation on p and q defined as p leftrightarrow q = (2^(p)-q) . If p leftrightarrow 12 = p, then find the value of p.

If p + q = 7 and pq = 12 , then will is the value of 1/(p^2) + 1/(q^2) ?

f(x) = x^(2) + px + q . If p = 2q and the function has a value of 16 at x = 3, what is the value of p ?

If the solution to 2x^(2)-8x-5=0 are p and q with pgtq , what is the value of p-q?

(x^(p^(2)))/(x^(q^(2)))=(x^(50))^(2) with xgt1 and p-q-4 , what is the value of p+q ?

If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a = 0 , then the value of p^(2) + q^(2) + pq , is

Let C_1 and C_2 be parabolas x^2 = y - 1 and y^2 = x-1 respectively. Let P be any point on C_1 and Q be any point C_2 . Let P_1 and Q_1 be the reflection of P and Q, respectively w.r.t the line y = x then prove that P_1 lies on C_2 and Q_1 lies on C_1 and PQ >= [P P_1, Q Q_1] . Hence or otherwise , determine points P_0 and Q_0 on the parabolas C_1 and C_2 respectively such that P_0 Q_0 <= PQ for all pairs of points (P,Q) with P on C_1 and Q on C_2

If the quadratic equation 2x^(2)+5x+1=0 has roots p and q,what is the value of the expression (2-p)(2-q)?

ENGLISH SAT-PASSPORT TO ADVANCED MATH-EXERCISE
  1. If x>x^(3), then all the options may be correct EXCEPT

    Text Solution

    |

  2. A sequence is defined as: t(n+1)=t(n)-t(n-1) , where t(n) denotes the ...

    Text Solution

    |

  3. Let ! "-be" an opertion on p and q defined as q!p=p^(2)-4pq+q^(2). If ...

    Text Solution

    |

  4. What is the positive value of x that satisfies the equation:(6)/(x+1)=...

    Text Solution

    |

  5. Let square be on operation on p defined as square p = p^(2) - 3 . ...

    Text Solution

    |

  6. How many solutions exists for the equation 2|x-1|^(2)+4=0 ?

    Text Solution

    |

  7. Let n be the value of the least integer (0 gt n gt 5) so that 3^(2n)+...

    Text Solution

    |

  8. In the quadratic equation ax^(2)+bx+2=0, both a and b belong to the se...

    Text Solution

    |

  9. Which of the following statements are true regarding the expression f...

    Text Solution

    |

  10. If x+2y=2 and x^(2)-y^(2)=9, what is the value of (x^(3)-2y^(3)-xy^(2)...

    Text Solution

    |

  11. In the formula (2)/(3a)-(4)/(5b)=(5)/(4c) , what is the correct expres...

    Text Solution

    |

  12. The graph of y=f(x) is shown below. If f(k)=6, then what is the minimu...

    Text Solution

    |

  13. How many values of x exist if 4^(x)-12.2^(x)-64=0 ?

    Text Solution

    |

  14. If (x)=(a^(x)-1)/(a^(x)+1) , choose the correct statement. I. f(-x)=...

    Text Solution

    |

  15. The graph of f(x) and g(x) are shown below. Which option is true?

    Text Solution

    |

  16. The function f(x) is defined as follows: {:(,f(x) = x^(2) -1 , if x ...

    Text Solution

    |

  17. If (2x+3)/((x+1)(x+2))=(A)/(x+1)+(B)/(x+2) for all real values of x(ne...

    Text Solution

    |

  18. The graph of f(x)=-x^(2)+ax+b is shown below. What is the area of the ...

    Text Solution

    |

  19. f(x)=(x-k)/(5) and g(x)=5x+7. If f(g(x))=g(f(x)), what is the value of...

    Text Solution

    |

  20. Choose the correct option if it is known that one root of the quadrati...

    Text Solution

    |