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

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

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

1/(3^2-1)+1/(5^2-1)+1/(7^2-1)+⋯+1/((201)^2-1) is equal to #progression | #progressionpyq's 11 Math

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

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

Which of the following is true in a triangle ABC?

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

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

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

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,

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

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

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

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

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

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

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

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

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

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

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

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