JEE Main Test 59

Result

JEE Main Test 59

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Weekly Quiz Competition

Question 1
4 / -1

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then, the equation of the circle is

A
x² + y² + 2x - 2y = 47

B
x² + y² - 2x + 2y = 47

C
x² + y² - 2x + 2y = 62

D
x² + y² + 2x - 2y = 62

Solution

Coordinate of centre is equal to intersection point of diameters, which is (1, -1).

πR²= 154, R² = 49

∴ R = 7

∴ Required equation of circle,

(x - 1)² + (y + 1)² = 49

⇒ x² + y² - 2x + 2y = 47
Question 2
4 / -1

Which of the following are substituted purines?

a. Adenine

b. Uracil

c. Guanine

d. Cytosine

A
Only a and b

B
Only a and c

C
Only a and d

D
Only b and c

Solution

Adenine and guanine are substituted purines.

Hence, option (2) is correct.