Home
Class 12
MATHS
Number of integral value (s) of k for wh...

Number of integral value (s) of k for which the equation `4x^(2)-16x+k=0` has one root lie between 1 and 2 and other root lies between 2 and 3, is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise EXAMPLE|6 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

The values of p for which the quadratic equation px^2+2x+p=0 has real roots are:

The number of integral values of k for which the equation 7 cos x + 5 sinx = 2k+1, has a solution is :

The value of a for which the equation (1-a^2)x^2+2ax-1=0 has roots belonging to (0,1) is

The value of b for which the equation x^2+bx-1=0 and x^2+x+b=0 have one root in common is

Let alpha + beta = 1, 2 alpha^(2) + 2beta^(2) = 1 and f(x) be a continuous function such that f(2 + x) + f(x) = 2 for all x in [0, 2] and p = int_(0)^(4) f(x) dx - 4, q = (alpha)/(beta) . Then, find the least positive integral value of 'a' for which the equation ax^(2) - bx + c = 0 has both roots lying between p and q, where a, b, c in N .

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.

The real number k for which the equations 2x^3 +3x+k=0 has two distinct real roots in [0,1]

Find the values of a for which one root of equation (a-5)x^(2)-2ax+a-4=0 is smaller than 1 and the other greater than 2.

Let a , b , c be nonzero real numbers such that int_0^1(1+cos^8x)(a x^2+b x+c)dx =int_0^2(1+cos^8x)(a x^2+b x+c)dx=0 Then show that the equation a x^2+b x+c=0 will have one root between 0 and 1 and other root between 1 and 2.