The quadratic equation x² ? 4x

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
The quadratic equation $x ² - 4 x + k = 0$ has distinct real roots if:

1 k = 4

2 k > 4

3 k = 16

4 k < 4

Ans.
(4)

$G i v e n x ² - 4 x + k = 0 . F o r d i s t i n c t r e a l r o o t s, D > 0 .$

$\Rightarrow (- 4) ² - 4 \times 1 \times k > 0 \Rightarrow 16 - 4 k > 0 \Rightarrow 16 > 4 k \Rightarrow k < 4 .$

Want Us to Email you About Special Offers & Updates?