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IIT JEE Permutation and Combination | Permutation - 15 | JEE Math Concept & Trick | Impetus Gurukul

The total number of permutations of 4 letters that can be made out of the letters of the word

The line x=y touches a circle at the point (1, 1) If the circle also passes through the point (1,-3)

The number of natural numbers less than 7000 which can be formed by using the digits 0, 1, 3, 7, 9

a ⃗=3i ̂+2j ̂+2k ̂ and b ⃗=i ̂+2j ̂-2k ̂ be two vectors. If a vector perpendicular to both vectors

The number of values of c such that the straight line y=4x+c touches the curve x^2/4+y^2=1 is

If ∑_(i=1)^9 (x_i-5)=9 & ∑_(i=1)^9 (x_i-5) ^2=45 then standard deviation of the 9 term x_1 x_2 … x_9

1/(3^2-1)+1/(5^2-1)+1/(7^2-1)+⋯+1/((201)^2-1) is equal to

A point on the straight line, 3x+5y=15, which is equidistant from coordinate axes will lie only in

Let S={θ∈[-2π,2π] ∶2 cos^2⁡〖θ+3 sin⁡θ 〗=0}. Then the sum of the element of S is

The remainder when (2021)^2023 isdivided by 7 is:

Which of the following is true in a triangle ABC?

Let f(x)={■(-1,&-2≤x lesTh0@x^2-1,&0≤x≤2)┤ and g(x)=|f(x)|+f(|x|).Then, in the interval (-2,2),g is

The number of distinct real roots ofx^4-4x+1=0is:

The equation of a common tangent to the curves, y^2=16x and xy=-4, is

2 sin⁡(π/22) sin⁡〖(3π/22) sin⁡〖(5π/22) sin⁡〖(7π/22) sin⁡(9π/22) 〗 〗 〗 is equal to

If z=x+iy satisfies |z|-2=0 and |z-i|-|z+5i|=0, then | Impetus Gurukul | Dr. Sharad Neha Gupta

Three randomly chosen non-negativeintegersx,y and z are found to satisfy the equation x+y+z=10.

If ∫▒dx/〖cos〗^3⁡〖x√(2 sin⁡2x )〗 =(tan⁡x )^A+C(tan⁡x )^B+k,wherek is a constant of integration,

The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical

integration | integration of modulus function | Maths Master | ∫_(-π)^π▒〖|π-|x||dx〗

The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and

The largest interval for whichx^12-x^9+x^4-x+1 greeter then 0 is

IIT JEE Permutation and Combination | Permutation - 19 | JEE Math Concept & Trick | Impetus Gurukul

Let A=(■([x+1]&[x+2]&[x+3]@[x]&[x+3]&[x+3]@[x]&[x+2]&[x+4])), where [t] denotes the greatest integer

Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than

If {a_i }_(i=1)^n when n is an even integer, is an arithmetic progression with common difference 1,

Let [.] denote the greatest integer function and f(x)=[〖tan〗^2⁡x ], then:

Let f(x)=3 〖sin〗^4⁡〖x+10 〖sin〗^3⁡〖x+6 〖sin〗^2⁡〖x-3,x∈[-π/6,π/2].〗 〗 〗Then, fis:

The centre of a circle passingthrough the points (0, 0), (1, 0) and touching the circlex^2+y^2=9 is

lim〗┬(x→0)⁡〖〖sin〗^2⁡(π 〖cos〗^4⁡x )/x^4 〗 is equal to:

The number of triangles whose vertices are at the vertices of an octagon but none of whose sides

The remainder when 7^2022+3^2022 is divided by 5 is | Impetus Gurukul

The value of 〖(sin⁡〖θ+i cos⁡θ 〗)〗^n is

Team ‘A’ consists of 7 boys and n girls and Team ‘B’ has 4 boys and 6 girls. If a total of 52 ... 👇

NIMCET Paper Solution 2021 - 02| NIMCET Solved Paper | Impetus Gurukul

The equation e^sinx-e^(- sinx)-4 = 0 has

Let the foci of the ellipse x^2/16+y^2/7=1and the hyperbola x^2/144-y^2/α=1/25 coincide.

If 0 lees then x leesthen 1, then√(1+x^2 )[{x cos⁡(〖cot〗^(-1)⁡x )+〖sin⁡(〖cot〗^(-1)⁡x )}〗^2-1]^(1/2)=

If a b c are non coplanar unit vectors such that a×(b ×c )=((b+c))/√2 then the angle between a and b

For non zero vectors a ⃗,b ⃗,c ⃗,|(a ⃗×b ⃗ )∙c ⃗ |=|a ⃗ ||b ⃗ ||c ⃗ | holds if and only if

IIT JEE Permutation and Combination | Permutation - 16 | JEE Math Concept & Trick | Impetus Gurukul