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If the points P and Q are respectively the circumcenter and orthocentre of a △ABC, then PA+PB+PC=...
7:18
If the points P and Q are respectively the circumcenter and orthocentre of a △ABC, then PA+PB+PC=...
If y=y(x) is the solution curve of the d.e. (x2−4)dy−(y2−3y)dx=0,y(4)=3/2and the slope of curve...
21:19
If y=y(x) is the solution curve of the d.e. (x2−4)dy−(y2−3y)dx=0,y(4)=3/2and the slope of curve...
Let the area enclosed by curve y=min{sinx,cosx} and x-axis b/w x=-π to x=π be A.Then A2 is equal to_
17:46
Let the area enclosed by curve y=min{sinx,cosx} and x-axis b/w x=-π to x=π be A.Then A2 is equal to_
If log a,log b & log c are in AP and also loga-log2b,log2b-log3c,log3c-loga are in AP then a: b:c...
6:38
If log a,log b & log c are in AP and also loga-log2b,log2b-log3c,log3c-loga are in AP then a: b:c...
Let S(n) denote the sum of first n terms of an AP. If S(10)=390 and the ratio of 10th and 5th...
7:32
Let S(n) denote the sum of first n terms of an AP. If S(10)=390 and the ratio of 10th and 5th...
Let 3,7,11,…,403 & 2,5,8,11,…404 be two AP's Then the sum of common terms in them, is equal to...
6:32
Let 3,7,11,…,403 & 2,5,8,11,…404 be two AP's Then the sum of common terms in them, is equal to...
If coeff. of x4, x5, x6 of (1 + x)^n are in A.P., then maximum value of n is equal to...#jee2024
8:32
If coeff. of x4, x5, x6 of (1 + x)^n are in A.P., then maximum value of n is equal to...#jee2024
If f(m + n) = f(m) + f(n), f(1) = 1 then ∑k=1,2022 f(λ + k) ≤ (2022)2 , then λmax ∈ N is...#jee2024
5:41
If f(m + n) = f(m) + f(n), f(1) = 1 then ∑k=1,2022 f(λ + k) ≤ (2022)2 , then λmax ∈ N is...#jee2024
Let A={n∈[100,700]∩N:n is neither multiple of 3 nor multiple of 4}.Then the no. of elements in A is
9:31
Let A={n∈[100,700]∩N:n is neither multiple of 3 nor multiple of 4}.Then the no. of elements in A is
If the Coeff. of x^30 in the expansion of (1+1/x)6(1+x2)7(1–x3)8,x≠0 is α, then |α| equals ______
21:10
If the Coeff. of x^30 in the expansion of (1+1/x)6(1+x2)7(1–x3)8,x≠0 is α, then |α| equals ______
The sum of all rational terms in the expansion of (2^1/5+5^1/3)^15is equal to ...#jee2024
6:05
The sum of all rational terms in the expansion of (2^1/5+5^1/3)^15is equal to ...#jee2024
JEE 2023 || Let I(x) =∫{x2(xsec2x+tanx)}/(xtanx+1)2dx. If I(0) = 0, then I(π/4) is equal to ...
14:39
JEE 2023 || Let I(x) =∫{x2(xsec2x+tanx)}/(xtanx+1)2dx. If I(0) = 0, then I(π/4) is equal to ...
Integration of 1/{(x-1)^4/5 (x+3)^6/5} dx =A(αx -1/βx+3)^B +C then (α+β+20AB) is ...
7:41
Integration of 1/{(x-1)^4/5 (x+3)^6/5} dx =A(αx -1/βx+3)^B +C then (α+β+20AB) is ...
The integral ∫(x^8 − x^2)dx / (x^12 + 3x^6 + 1) tan^−1(x^3 + 1/x^3) is equal to...
6:42
The integral ∫(x^8 − x^2)dx / (x^12 + 3x^6 + 1) tan^−1(x^3 + 1/x^3) is equal to...
For, α, β, γ, δ ∈ N,N, if ∫((x/e)2x+(e/x)2x)logexdx= 1α(x/e)βx−1γ(e/x)δx+c , then ...
9:34
For, α, β, γ, δ ∈ N,N, if ∫((x/e)2x+(e/x)2x)logexdx= 1α(x/e)βx−1γ(e/x)δx+c , then ...
If ∫1/{a2sin2⁡x+b2cos2⁡x}dx=(1/12)tan−1⁡(3tan⁡x)+C , then the maximum value of asinx + bcosx is ...
7:03
If ∫1/{a2sin2⁡x+b2cos2⁡x}dx=(1/12)tan−1⁡(3tan⁡x)+C , then the maximum value of asinx + bcosx is ...
Let f(x)= x5+2x3+3x+1,x ∈ R,and g(x) be a function such that g(f(x))=x ;x∈R. Then g(7)/g'(7) is...
9:05
Let f(x)= x5+2x3+3x+1,x ∈ R,and g(x) be a function such that g(f(x))=x ;x∈R. Then g(7)/g'(7) is...
Let f(x)=ax3+bx2+ex+41 be such that f(1)=40,f′(1)=2 and f′′(1)=4.Then a2+b2+c2 is ...
7:40
Let f(x)=ax3+bx2+ex+41 be such that f(1)=40,f′(1)=2 and f′′(1)=4.Then a2+b2+c2 is ...
If 1/a+1/b+1/c=1/(a+b+c) , then show that 1/a7+1/b7+1/c7=1/(a7+b7+c7) #maths #mathematics
8:32
If 1/a+1/b+1/c=1/(a+b+c) , then show that 1/a7+1/b7+1/c7=1/(a7+b7+c7) #maths #mathematics
If A=1/2[ 1 √3 -√3 1] , then...A30+A25-A=I #jee2024 #jee2023 # jeemains
8:09
If A=1/2[ 1 √3 -√3 1] , then...A30+A25-A=I #jee2024 #jee2023 # jeemains
The no. of non negative integral solutions of the equation x+y+z+5t=15 is...#jee2024 #jeemains
7:41
The no. of non negative integral solutions of the equation x+y+z+5t=15 is...#jee2024 #jeemains
Trigonometric functions JEE PYQs
1:03:54
Trigonometric functions JEE PYQs
Let A=[aij]2×2 ,where aij≠0∀i,j and A²=I.Let a=sum of diag. elements of A & b=|A|, then 3a²+4b²...
6:41
Let A=[aij]2×2 ,where aij≠0∀i,j and A²=I.Let a=sum of diag. elements of A & b=|A|, then 3a²+4b²...
complex numbers pyqs jee
1:31:02
complex numbers pyqs jee
S I: For any two non-zero complex numbers z1,z2: (|z1|+|z2|)∣∣z1|z1|+z2|z2|∣∣≤2(|z1|+|z2|)(|z1|+|...
10:32
S I: For any two non-zero complex numbers z1,z2: (|z1|+|z2|)∣∣z1|z1|+z2|z2|∣∣≤2(|z1|+|z2|)(|z1|+|...
The sum of all values of θ∈[-π,2π],for which (1+icosθ)/(1-2icosθ) is purely imaginary, is..#jeemains
8:06
The sum of all values of θ∈[-π,2π],for which (1+icosθ)/(1-2icosθ) is purely imaginary, is..#jeemains
Let z1,z2∈C such that z1+z2=5 and z13+z23 =20 +15i, then |z14+z42| is .... #jeemains #jee2024
8:54
Let z1,z2∈C such that z1+z2=5 and z13+z23 =20 +15i, then |z14+z42| is .... #jeemains #jee2024
If z=2+3i, then z5+(z̅)5is equal to.... (a) 244 (b) 224 (c) 245 (d) 265 #jeemains #jee2024
8:00
If z=2+3i, then z5+(z̅)5is equal to.... (a) 244 (b) 224 (c) 245 (d) 265 #jeemains #jee2024
If the set R ={(a,b):a+5b=42, a,b∈N} has m elements & ∑(1-i^n!)=x+iy, then m+x+y is...#jeemains
8:59
If the set R ={(a,b):a+5b=42, a,b∈N} has m elements & ∑(1-i^n!)=x+iy, then m+x+y is...#jeemains
Let z∈C such that |z+2|=1and Im{(z+1)/(z+2)}. Then |Re{conjugate of (z+2)| = ...#jeemains
9:45
Let z∈C such that |z+2|=1and Im{(z+1)/(z+2)}. Then |Re{conjugate of (z+2)| = ...#jeemains