Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
- If alpha and beta are the roots of the equation ax^(2)+bx+c=0, find th...
Text Solution
|
- If alpha, beta are the roots of the equation 2x^(2)-3x+2=0, form the e...
Text Solution
|
- Two students A and B solve an equation of the form x^(2)+px +q=0 . ...
Text Solution
|
- If the two roots of a quadratic equation are (-3)/2 and (-5)/3 which ...
Text Solution
|
- If the two roots of any quadratic equation are sqrt3 and sqrt3, how ma...
Text Solution
|
- If the two factors of any quadratic equation are (x+sqrt3) and (x-sqr...
Text Solution
|
- If a quadratic equation is multiplied by 4, the roots of the new equat...
Text Solution
|
- If one root is 3-sqrt5 and the other root is 3+sqrt5, find the possibl...
Text Solution
|
- Roots are real only when D is non-negative.
Text Solution
|
- Roots are complex (or imaginary) when D is negative.
Text Solution
|
- Roots are rational only when D is a perfect square number like 0,1,4,9...
Text Solution
|
- Roots are equal only when D =0.
Text Solution
|
- The equal roots are called Double Root.
Text Solution
|
- When the roots are irrational they are in conjugate pairs as if one ro...
Text Solution
|
- When the roots are complex they are in conjugate pairs as if one root ...
Text Solution
|
- If Dgt0,a=1,b,cinZ (integer numbers) and roots are rational,prove tha...
Text Solution
|
- If a quadratic equation has one real root and a,b,cinR. other root is ...
Text Solution
|
- If the roots are real and equal, the graph will touch the x-axis.
Text Solution
|
- If the roots are real and unequal, the graph will intercept the X-axis...
Text Solution
|
- If the roots are non-real, the. graph does not touch the X-axis.
Text Solution
|