Home
Class 12
MATHS
If x be real then prove that (x-1)(x-2)+...

If x be real then prove that (x-1)(x-2)+1 is always positive.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Multiple Choice type question)|20 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

If x is real , show that (x-2)(x-3)(x-4)(x-5)+2 is always positive.

If x is real and the roots of the equation a x^2+b x+c=0 are imaginary, then prove tat a^2x^2+a b x+a c is always positive.

IF x is real and the expressions 3x^2-17x+20 is always positive, show that, x cannot lie between 5/3 and 4.

IF x is real , find the real values of a which make x^2-ax+1-2a^2 always positive.

If S is the set of all real x such that (2x-1)/(2x^3+3x^2+x) is positive (-oo,-3/2) b. (-3/2,1/4) c. (-1/4,1/2) d. (1/2,3) e. None of these

For each positive or negative value of x and y except zero the value of x^2 + y^2 is always positive, Explain.

If x is real, find the real values of p which make 4x^2+px+1 always positive.

Write the negation of the following statements: p: For every positive real number x, the number x - 1 is also positive.

If x is real, show that the value of x/(x^2-5x+9) always lie between 1 and (-1/11)

If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b{f(x)}^2-{f(x)}^3]^(1/3) for all real x , then prove that f(x) is periodic and find its period.