1 Crore+ students have signed up on EduRev. Have you? 
The area enclosed by the parabola y^{2} = 8x and the line y = 2x is
Locus of a point P equidistant from two fixed points A and B is ____________
The line which makes equal distance from the two fixed points will definitely pass through the midpoint of line joining the two points and will definitely perpendicular to the line formed by joining the two points.
ANSWER : b
Solution : f′(10)= lim h→0 f(10h)−f(10)
= lim h→0 (sinπ[10h]−sinπ[10])/h
= lim h→0 (sinπ−sinπ)/h=0
The family of curves, in which the subtangent at any point to any curve is double the abscissa, is given by
Observe the following statements
Which of the following is a correct statement?
The differential of sin^{1}[(1x)/(1+x)] w.r.t. √x is equal to
Suppose that g(x) = 1 + √x and f(g(x)) = 3 + 2√x + x, then f(x) is
If sin^{1}x + sin^{1}y = 2π/3, then cos^{1} x + cos^{1} y is equal to
If B is a nonsingular matrix and A is a square matrix, then det (B^{1}AB) =
m[ 3 4 ] + n[ 4 3 ] = [ 3m 4m ] + [ 4n 3n ]
= [ (3m)+4n 4m+(3n) ] = [ 10 11 ]
• we can compare both sides,
3m + 4n = 10 .... (1)
And 4m  3n = 11 .... (2)
• Solving both equations
multiply equation (1) by 4 and equation (2) by 3
12m + 14n = 40
and 12m  9n = 33
• Add equation (1) and (2)
12m + 14n + 12m  9n = 40  33
5n = 7
n = 7/5
• Substitute value of n in equation (1)
3m + 4×(7/5) = 10
3m + 28/5 = 10
15m + 28 = 50
15m = 50  28
m = 22/15
• Substitute value of m and n in 3m + 7n
3(22/15) + 7(7/5) = 22/5 + 49/5
= 27/5
• Hence, value of 3m + 7n is 27/5
If the probability that A and B will die within a year are p and q respectively, then the probability that only one of them will be alive at the end of the year, is
We have (n+1) white balls and (n+1) black balls. In each set the balls are numbered from 1 to (n+1). If these balls are to be arranged in a row so that two consecutive balls are of different colours, then the number of these arrangements is
Between (n + 1) white balls there are (n + 2) gaps in which (n + 1) black ball are to arranged.
No. of reqd arrangements = (n + 1)! (n + 1)! = [(n + 1)!]^{2}
Now between (n + 1) black balls (n + 1) white balls are to be filled no. of ways
= (n + 1)! (n + 1)!
∴ Reqd ways = 2[(n + 1)!]^{2}
A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is
A fair dice is tossed repeatedly until six shows up 3 times. The probability that exactly 5 tosses are needed is
Let the harmonic means and the geometric mean of two positive numbers be in the ratio 4 : 5. The two numbers are in the ratio
Which one of the following is a source of data for primary investigations?
If each observation of a raw data, whose variance is σ^{2}, is multiplied by λ, then the variance of new set is
If the roots of the equation (a^{2} + b^{2})x^{2}  2(ac + bd)x + (c^{2} + d^{2}) = 0 are equal is
(a^{2} + b^{2})x^{2}  2 (ac + bd)x + (c^{2} + d^{2}) = 0
For equal root, Discriminant (D) = 0
or [ 2 (ac + bd)]^{2}  4.(a^{2} + b^{2}) (c^{2} + d^{2}) = 0
or 4 (ac + bd)^{2}  4 (a^{2} + b^{2}) (c^{2} + d^{2}) = 0
or a^{2}c^{2} + b^{2}d^{2} + 2acbd  (a^{2} + b^{2}) (c^{2} + d^{2}) = 0
or a^{2}c^{2} + b^{2}d^{2} + 2acbd  a^{2}c^{2}  a^{2}d^{2}  b^{2}d^{2}
or 2acbd  a^{2}d^{2}  b^{2}c^{2} = 0
or (ad  bc)^{2} = 0
or ad = bc
If A (1,2,3),B(1,1,1) be the pts., then the distance AB is
The plane of intersection of x^{2}+y^{2}+z^{2}+2x+2y+2z+2=0 and 4x^{2}+4y^{2}+4z^{2}+4x+4y+4z1=0 is
The angle between the two straight lines represented by 6y^{2}  xy  x^{2} + 30y + 36 = 0 is
The length of the intercept made by the circle x^{2} + y^{2} + 10x  6y + 9 = 0 on the Xaxis is
1 videos3 docs73 tests

Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
1 videos3 docs73 tests









