Question
AB is parallel to DC in a trapezium ABCD. It is given that AB > DC and the diagonals AC and BD intersect at O. If AO = 3x - 15 OB = x + 9, OC = x - 5 and OD = 5, and x has two values x1 and x2 then the value of ( x12 + x22) is:
⇒ (3x - 15) × 5 = (x + 9) × (x - 5) ⇒ 15x - 75 = x2 + 9x - 5x - 45 ⇒ 15x - 75 = x2 + 4x - 45 ⇒ x2 - 11x + 30 = 0 Solving the quadratic equation: 
⇒ x1 = 6, x2 = 5 To find x12 + x22: ⇒ 62 + 52 = 36 + 25 = 61More Previous year papers Questions
- A person loses 20 percent on selling a fan for Rs. 2500. At what price should he sell the fan to earn a profit of 20 percent?
- Select the option that is true regarding the following labelled Assertion (A) and Reason (R).
- If the difference between the mode and median is 2, then find the difference between the median and mean (in the given order) using empirical relation.
- An Army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the...
- A trader marks his goods in such a way that after allowing 16% discount on the marked price, he still gains 26%. If the cost price of the goods is ₹318, th...
- Find the value of 1512 – 1492.
- A can do 1/5 of a piece of work in 20 days, B can do 30% of the same work in 36 days, while C can do 80% of the same work in 160 days. B and C together sta...
- Speed of a boat in still water is 10 km/hr. If speed of stream is 2 km/hr, then how much distance can the boat travel downstream is 2.5 hours?
- A circle touches all four sides of a quadrilateral ABCD. If AB = 18 cm, BC = 21 cm and AD = 15 cm, then length CD is:
- Find the average of the squares numbers which lie between 20 and 70.
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)