An objective type test paper has 5 questions. Out of these 5 questions, 3 questions have four options each (a, b, c, d) with one option being the correct answer. The other 2 questions have two options each, namely true and false. A candidate randomly ticks the options. Then, the probability that he/she will tick the correct option in atleast four questions, is
The solution of the differential equation satisfies x = 1, y = 1. Then, the solution is
A.
Given differential equation is,
Complete solution is,
At x = 1, y = 1 then from Eq. (i), we get
1 = 0 + C
From Eq. (i), we get
Which is the required solution.
A family of curves is such that the length intercepted on the y-axis between the origin and the tangent at a point is three times the ordinate of the point of contact. The family of curves is
xy = C, C is a constant
xy2 = C, C is a constant
x2y = C, C is a constant
x2y2 = C, C is a constant
If [a] denote the greatest integer which is less than or equal to a. Then, the value of the integral is
If . Then, the area of the region enclosed by the curve y = f (x) and the three lines y = x, x = 1and x = 8 is
If F(x) = . Then,
F is decreasing in and decreasing in
F is increasing in (0, ) and decreasing in ( ).
Fis increasing in () and decreasing in ( ).
Fis increasing in (0, ) and and decreasing in ( ).
The area of the region enclosed between parabola y2 = x and the line y = mx is . Then, the value of m is
- 2
- 1
1
2