If a, b are odd integers, then the roots of the equation 2ax2 + (2a +

1.	If a, b are odd integers, then the roots of the equation 2ax2 + (2a + b) x + b = 0, a ≠ 0 is : (a) non-real (b) equal (c) irrational (d) rational
Answer» Correct option (d) rational Explanation: Equation is 2ax² + (2a + b) x + b = 0 Discriminant = (2a + b)² − 4 . 2a . b = (2a + b)² − 8ab > 0 ∴ Roots are rational.

If a, b are odd integers, then the roots of the equation 2ax2 + (2a + b) x + b = 0, a ≠ 0 is : (a) non-real (b) equal (c) irrational (d) rational

Answer»

Correct option (d) rational

Explanation:

Equation is 2ax² + (2a + b) x + b = 0

Discriminant = (2a + b)² − 4 . 2a . b

= (2a + b)² − 8ab > 0

∴ Roots are rational.

Discussion

No Comment Found

Related InterviewSolutions

The correct energy gradation of different conformers is (1) skew > staggered > eclipsed (2) skew > eclipsed > staggered(3) eclipsed > skew > staggered (4) staggered > skew > eclipsed
The number of ways in which 20 mangoes may be distributed among 5 children, so that each child gets at least one mango is (1) 20C4 (2) 19C4 (3) 24C3 (4) 19C5
Directions: Each of the following sentence has a mistake in grammar usage or idiom. Each sentence is broken up into four parts sequentially 1, 2, 3 and 4. Choose the part that has an error and mark accordingly. (a) (1) It is stupid to go (2) to the expense of taking (3) music lessons (4) if you never practice (b) (1) You will find (2) if difficult (3) to explain of your use (4) of such offensive language (c) (1) Because of the (2) extenuating circumstances (3) the court acquitted him (4) out of the crime
Induction furnace is based on the heating effect of (1) magnetic field (2) eddy current (3) electric field (4) electrostatic field
Carbon with metal forms : (a) carbide (b) carbonate (c) hydroxide (d) oxide
Stainless steel contains (1) Fe, Cr, Ni, C (2) Fe, Al (3) Fe, Mn, Cr (4) Fe, Co, Ni
The products of the following reaction A and B are respectively.(1) 2, 3-dibromobutane, 2, 3-dibromobutane (both cases) (2) d-2, 3-dibromobutane, l-2, 3-dibromobutane (3) Racemic mixture of 2, 3-dibromobutane (4) Racemic mixture of 2, 3-dibromobutane, meso 2, 3-dibromobutane
Fluorine does not form any interhalogen compound as other halogens because it has (1) low F − F bond energy (2) maximum electronegativity (3) no d-orbitals (4) low electron gain enthalpy
If a particle is compelled to move on a given smooth plane curve under the action of given forces in the plane
Directions: Each sentence below has a blank space indicating that something has been left out. Following each sentence four words are given. Choose the word that makes the sentence meaningful.He tried to _________ the accident by slamming on his brakes. (1) abhor (2) avert (3) barter (4) abjure

If a, b are odd integers, then the roots of the equation 2ax2 + (2a + b) x + b = 0, a ≠ 0 is : (a) non-real (b) equal (c) irrational (d) rational

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment