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A particle falls from a height h in time t upon a fixed horizontal plane. It rebounds and reaches
9:41
A particle falls from a height h in time t upon a fixed horizontal plane. It rebounds and reaches
For the cycliod x=a(t+sint), y=a(1-cost) the radius of curvature at the point t is
4:37
For the cycliod x=a(t+sint), y=a(1-cost) the radius of curvature at the point t is
The value of integration 0 to infinity e-x^2x^a^2 dx is given by
3:10
The value of integration 0 to infinity e-x^2x^a^2 dx is given by
The pair of straight lines joining the origin to the other two points of intersection of ax^2+2hxy+
4:43
The pair of straight lines joining the origin to the other two points of intersection of ax^2+2hxy+
A speaks the truth in 75% cases and B in 80% cases. The percentage of cases are they likely to contr
3:52
A speaks the truth in 75% cases and B in 80% cases. The percentage of cases are they likely to contr
Assuming that A and B are equally strong table tennis players, then the probability that A beats B
2:17
Assuming that A and B are equally strong table tennis players, then the probability that A beats B
The nature of discontinuity of the function (x^2-4/x-2) at x=2 is
2:17
The nature of discontinuity of the function (x^2-4/x-2) at x=2 is
A particle moves from rest in a straight line under the attractive force (mu)/(distance)^2 per unit
9:02
A particle moves from rest in a straight line under the attractive force (mu)/(distance)^2 per unit
Let P=[√3/2 1/2][-1/2 √3/2] A=[1 1][0 1] and Q=PAP^T. If P^TQ^2007P=[a b][c d] then 2a+b-3c-4d equal
6:58
Let P=[√3/2 1/2][-1/2 √3/2] A=[1 1][0 1] and Q=PAP^T. If P^TQ^2007P=[a b][c d] then 2a+b-3c-4d equal
The equation 3x^2+2xy+3y^2-18x-22y+50=0 is transformed to 4x^2++2y^2=1 with respect to a rectangular
2:46
The equation 3x^2+2xy+3y^2-18x-22y+50=0 is transformed to 4x^2++2y^2=1 with respect to a rectangular
The straight lines whose direction cosiness are given by a^2l+b^2m+c^2n=0, mn+nl+lm=0 are parallel
7:31
The straight lines whose direction cosiness are given by a^2l+b^2m+c^2n=0, mn+nl+lm=0 are parallel
Given that alpha, beta, gamma are the roots of the equation x^3-px^2+qx-r=0 then the equation whose
4:30
Given that alpha, beta, gamma are the roots of the equation x^3-px^2+qx-r=0 then the equation whose
The length of the chord of the parabola y^2=4ax intercepted by the straight line y=mx+c is
7:52
The length of the chord of the parabola y^2=4ax intercepted by the straight line y=mx+c is
If the matrix [0 a a][2b b -b][c -c c] is orthogonal, then the values of a, b, c are
4:07
If the matrix [0 a a][2b b -b][c -c c] is orthogonal, then the values of a, b, c are
A is a square matrix of order n , l= maximum number of distinct entries if A is a triangular matrix
6:00
A is a square matrix of order n , l= maximum number of distinct entries if A is a triangular matrix
S be a relation over the set R of all real numbers and it is given by (a,b)€S iff ab ge 0 then S is
6:27
S be a relation over the set R of all real numbers and it is given by (a,b)€S iff ab ge 0 then S is
If f: A to B given by 3^f(x)+2^-x=4 is a bijective then domain and range are given by
5:01
If f: A to B given by 3^f(x)+2^-x=4 is a bijective then domain and range are given by
The function f: A to B defined by f(x)=-x^2+6x-8 is bijection if A and B are given by
5:31
The function f: A to B defined by f(x)=-x^2+6x-8 is bijection if A and B are given by
Consider three points P(cos(alpha), sin(beta)) Q(sin(alpha), cos(beta)) and R(0,0) where 0 lt alpha
2:55
Consider three points P(cos(alpha), sin(beta)) Q(sin(alpha), cos(beta)) and R(0,0) where 0 lt alpha
Let a , b , c be unit vectors. Suppose that a.b=a.c=0 and the angle between b and c is π/6. Then a =
3:00
Let a , b , c be unit vectors. Suppose that a.b=a.c=0 and the angle between b and c is π/6. Then a =
If x= integration 0 to y 1/√(1+9t^2) dt and d^2y/dx^2=ay, then a is equal to
3:14
If x= integration 0 to y 1/√(1+9t^2) dt and d^2y/dx^2=ay, then a is equal to
If sum of n terms of an A.P is 3n^2+5n and it's mth term is 164, then the value of m is
3:16
If sum of n terms of an A.P is 3n^2+5n and it's mth term is 164, then the value of m is
Let phi(x)=f(x)+f(2a-x) , x€[0,2a] andf''(x) greater 0 for all x€[0,a] Then phi(x) is
3:27
Let phi(x)=f(x)+f(2a-x) , x€[0,2a] andf''(x) greater 0 for all x€[0,a] Then phi(x) is
Let k and K be the minimum and maximum values of the function f(x)=(1+x)^0.6/(1+x^0.6) in [0,1]
7:03
Let k and K be the minimum and maximum values of the function f(x)=(1+x)^0.6/(1+x^0.6) in [0,1]
Changing the order show that Integration 0 to 2a integration √(2ax-x^2) to √4ax f(x,y)dy=
10:06
Changing the order show that Integration 0 to 2a integration √(2ax-x^2) to √4ax f(x,y)dy=
Change the order of integration in integration 0 to 2a dx integration 0 to √(2ax-x^2) f(x,y) dy
18:26
Change the order of integration in integration 0 to 2a dx integration 0 to √(2ax-x^2) f(x,y) dy
A point moves in a plane as tangential acceleration is constant and magnitude of tangential velocity
11:03
A point moves in a plane as tangential acceleration is constant and magnitude of tangential velocity
Let a b c be vectors of equal magnitude such that the angle between a and b is alpha and b and c is
3:14
Let a b c be vectors of equal magnitude such that the angle between a and b is alpha and b and c is
If x=-1 and x=2 are extreme points of f(x)=alog|x|+bx^2+x(x#0) then value of a anb are
3:25
If x=-1 and x=2 are extreme points of f(x)=alog|x|+bx^2+x(x#0) then value of a anb are
The expression 2^4n-15n-1 where n€N is divisible by the number
3:03
The expression 2^4n-15n-1 where n€N is divisible by the number