Find the values of k for which the roots...

Find the values of k for which the roots are real and equal in the following equations : `kx² + 4x + 1 = 0`

Topper's Solved these Questions

THEOREMS ON CONCURRENCE
CALCUTTA BOOK HOUSE|Exercise EXERCISE Short-answer type questions|10 Videos
THEOREMS ON AREAS
CALCUTTA BOOK HOUSE|Exercise EXERCISE-3|40 Videos
THEOREMS ON TRANSVERSAL AND MID-POINTS
CALCUTTA BOOK HOUSE|Exercise Long answer|14 Videos

Similar Questions

Explore conceptually related problems

Find the values of k for which the roots are real and equal in the following equations : 5x^2-4x+2+k(4x^2-2x-1) = 0

Find the values of a for which the roots of the equation x^2+a^2=8x+6a are real.

Find the value of k for which the given value is a solution of the given equation 7x^2+kx-3=0 at x=2/3

Find the value of k for which the given value is a solution of the given equation x^2+3ax+k=0 at x=-a

Find the values of a for which all the roots of the euation x^4-4x^3-8x^2+a=0 are real.

Find the real values of K for which the following system of linear equations has no-trivial solution: x - ky - z = 0, kx - y - z = 0, x + y-z = 0

Find the real values of k for which the following system of linear equations has non-trivial solutions: x-ky+z=0,kx+3y-kz=0,3x+y-z=0

Find the value of k if x^3-12x+k=0 has three real distinct roots.

Find the value of a if 1 is a root of the equation x^(2)+ax+3=0 .

Find the real values of K for which the following system of linear equations has non-trival solutions: x-ky+z = 0, kx + 3y - kz = 0, 3x + y-z = 0

CALCUTTA BOOK HOUSE-THEOREMS ON CONCURRENCE-EXERCISE Long-answer type questions

Find the value of k for which the given value is a solution of the giv...
Text Solution
|
Determine the nature of the roots of following quadratic equations : (...
Text Solution
|
Some students planned a picnic. The budget for food was Rs. 480. But e...
Text Solution
|
Find the value of k for which the given value is a solution of the giv...
Text Solution
|
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each m...
Text Solution
|
Two medians BE and CF of Delta ABC intersect at G. Prove that area of ...
Text Solution
|
I is the incentre of Delta ABC, Produced AI bisects BC at D. Prove tha...
Text Solution
|
Find the values of k for which the roots are real and equal in the fol...
Text Solution
|
I is the incentre of the Delta ABC. The perpendicular drawn from I to ...
Text Solution
|
Find the values of k for which the roots are real and equal in the fol...
Text Solution
|
E is the mid-point of AD, a median of the Delta ABC. The extended BE i...
Text Solution
|
Write the first five terms of the following sequence whose nth term ar...
Text Solution
|
In Delta ABC, angle B le angle C. If the interior bisector of angle B...
Text Solution
|
P is a point on the median AD of the Delta ABC. Prove that area of De...
Text Solution
|
Find the next five terms of each of the following sequences given by :...
Text Solution
|
Write the first five terms of the following sequence whose nth term ar...
Text Solution
|
A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is...
Text Solution
|