ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

Direction: In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer. I. x2 - 3x + 2 = 0 II. 4y2 - 8y + 3 = 0

Asked on by | Votes 0 | Views: 21 | Tags: algebra     | numerical ability     | Add Bounty

Direction: In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer.

I. x2 - 3x + 2 = 0

II. 4y2 - 8y + 3 = 0


1). If x > y
2). If x < y
3). If x ≥ y
4). If x ≤ y


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

1 vote
Answered by on | Votes 1 |

Equation I:

x2$ - 3x + 2 = 0

⇒ x2 – x – 2x + 2 = 0

⇒ x(x – 1) – 2(x – 1) = 0

⇒ (x – 2) (x – 1) = 0

⇒ x = 2 or x = 1

Equation II:

4y2$ - 8y + 3 = 0?

⇒ 4y2 – 2y – 6y + 3 = 0

⇒ 2y(2y – 1) – 3(2y – 1) = 0

⇒ (2y – 3) (2y – 1) = 0

⇒  y = 1/2 or y = 3/2

When x = 2, for y = ½, x > y, and for y = 3/2, x > y

When x = 1 , for y = ½, x > y, and for y = 3/2, x < y

∴ No relation can be established.

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (2+5)
Submit:

Other Questions

1. Direction∶ In the following question, two equations numbered I and II are given. You have to solve both the equations and give the answer. I) x2 - 10x + 24 = 0                               II) y2 - 20y + 96 = 0

2. What should come in place of the question mark (?) in the following number series? 36,       154,     232,     278,     300,     ?

3. Resting 8 hours per day, Anuj can walk a certain distance in 15 days. How long will he take to walk twice the distance, twice as fast where he rests twice as long each day?

4. What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.) 8787 ÷ 77 × 92 = ? × 14

5. Direction: Study the following table to answer the questions. Registration cost = Registration fee percentage of total cost of land of the building. Cost of building Mall Villa Hotel House Land (Rate/Sq. ft) 600

6. What will come in place of question mark ‘?’ in the following question? 12.21 + 12.12 + 121.2 + 21.12 + 21.21 + 1.121 = ?

7. What should come in place of the question mark '?' in the following number series? 56, 84, ?, 189, 283.50, 425.25

8. The Salaries of P, Q and R, are in the ratio of 3 : 4 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries then what will be the new ratio of their salaries?

9. Manisha borrowed a total amount of Rs. 40000, part of it on simple interest rate of 16% per annum and remaining on simple interest rate of 12% per annum. If at the end of 3 years she paid in all Rs. 56320 to settle the loan amount, what was the amount borrowed at 16% per annum?

10. Ram covered a distance of 125 km by car and motorcycle. The car's speed was 50% more than the motorcycle's speed and the time taken by car and motorcycle were equal.What distance did Ram cover by motorcycle? (in km)