Home
Class 12
MATHS
Statement I If a gt 0 and b^(2)- 4ac lt...

Statement I If `a gt 0 ` and `b^(2)- 4ac lt 0`, then the value of the integral `int(dx)/(ax^(2)+bx+c)` will be of the type
`mu tan^(-1) . (x+A)/(B)+C`, where A, B, C, `mu` are constants.
Statement II If `a gt 0, b^(2)- 4ac lt 0`, then `ax^(2)+bx +C` can be written as sum of two squares .

A

Statement I is true, Statement II is also true , Statement II is the correct explanation of Statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true .

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|11 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|12 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If a>0 and b^(2)-4ac<0, then the graph of y=ax^(2)+bx+c

If c gt0 and 4a+clt2b then ax^(2)-bx+c=0 has a root in the interval

If b^(2)-4ac=0,a>0 then the domain of the function f(x)=log(ax^(3)+(a+b)x^(2)+(b+c)x+c) is :

If a gt 0 and b^(2) - 4 ac = 0 then solve ax^(3) + (a + b) x^(2) + (b + c) x + c gt 0 .

Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^(2) +bx+c=0

Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

If a>0 and b^(2)-4ac=0, then the graph of y=ax^(2)+bx+c touches x -axis and lies above x -axis.