Advertisements
Advertisements
Question
Choose the most appropriate option:
Two consecutive even positive integers, sum of the squares of whichis 1060 are:
Options
16 and 18
12 and 14
22 and 24
20 and 22
Advertisements
Solution
22 and 24
Explanation:
Let two consecutive even number be x and x + 2
According to the question,
x2 +(x+2)2 = 1060
2x2 + 4x + 4 = 1060
2x2 + 4x − 1056 = 0
x2 + 2x − 528 = 0
By solving
x = 22 and x + 2 = 24
APPEARS IN
RELATED QUESTIONS
In a staff room of 25 teachers, 13 drink black coffee, 7 milk coffee, 9 drink both tea and either type of coffee, and everyone drinks either of the beverages. How many teachers drink only tea?
If a + b = a – b , then the angle between a and b will be:
The differential coefficient of sin-1 x w.r.t. cos-1 `sqrt (1-"x"^2)` is :
The differential coefficient of tan-1 `sqrt((1-"x"^2)/(1 + "x"^2))` w.r.t. is:
If an expression consists of two terms in which atleast one term is a surd is known as
In a family, the father took one-fourth of the cake and he had three times more than the others had. The total number of family members is
The value of `1/"x"^2+1/"y"^2`, where x = `2 +sqrt3` and y `=2-sqrt3`, is
A number divided by 56 gives 29 as the remainder. If the same number is divided by 8, the remainder will be
If the fractions `5/14, 6/11, 7/9, 8/13` and `9/10` are arranged in ascending order of their values, which one will be the fourth?
2 oranges, 3 bananas and 4 apples taken together cost ₹ 15.00. 3 oranges, 2 bananas and 1 apple cost ₹ 10.00. Then the cost of 3 oranges, 3 bananas and 3 apples cost.
