
Q: let S={1,2,3,4} The total number of unordered pairs of disjoint subsets of S is equal...
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1 hour ago

maximum number point of intersection of diagonals of octagon that lie interior to it.
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yesterday

if f(x) = 2^x(x1) . What is fof (x)??
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yesterday

Three identical dies are rolled. The probability that the same number will appear on each...
Total number of cases = 6 × 6 × 6 = 216 Same number can appear as (1, 1, 1), (2, 2, 2), (3, 3, 3) ... (6, 6, 6). Hence no. of favourable cases = 6 Required probability = 6 / 216 = 1 / 36 Thanks Bharat...
2 days ago

Three of six vertices of a regular hexagon are chosen at random. The probability that the...
Total number of triangles formed = 6 C 3 = 20 No. of equilateral triangles = 2 ? Required probability = 2 / 20 = 1 / 10 THanks Bharat Bajaj IIT Delhi askiitians faculty
2 days ago

In a triangle ABC, if cos A / a = cos B / b = cos C / c and the side a = 2, then area of...
cos A / a = cos B / b = cos C / c cos A / (2R sin A) = cos B / (2R sin B) = cos C / (2R sin C) cot A = cot B = cot C A = B = C ?ABC is equilateral. Area = = THanks Bharat Bajaj IIT Delhi askiitians...
2 days ago

tan (cos1 x) =
tan (cos1 x) = sin ( cos1x)/ cos (cos1x) = sqrt(1x^2)/x Thanks Bharat Bajaj IIT Delhi askiitians faculty
2 days ago

Solve the equation (x^2+3x+1)(x^2+3x3)>=5
Take y = x^2 + 3x Now, (y+1)(y3)>=5 y^2 2y 8 >=0 (y+2)(y4)>=0 Now y = (inf,2) (4,inf) x^2 + 3x <= 2 (x+2)(x+1)<=0 x belongs from (1,2) x^2 + 3x >=4 (x+4)(x1)>=0 Hence,...
2 days ago

Can anyone explain double summation?
Means how to solve these type of questions in...
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2 days ago

Number of solutions of the equation tan x + sec x = 2 cos x, lying in the interval [0, 2p]...
tan x + sec x = 2 cos x sin x + 1 = 2 cos 2 x sin x + 1 = 2 (1  sin 2 x) 2 sin 2 x + sin x  1 = 0 Solve for sin x: sin x =  1, or sin x = 1/2 sin x = 1 means cos x = 0, which is not possible as...
3 days ago

answer me fast
Dear Student. Please check your question and post again. Thanks & Regards Rinkoo Gupta AskIItians Faculty
3 days ago

What are the roots of the quadratic equation x² + 4x + 7 = 0?
Discriminant = b^2  4ac = 4^2  4(1)(7) = 16  28 = 12 < 0 As D<0, the equation has complex roots. x = 4 + v12 i / 2 = 2 + v3i x = 2  v3i These are the roots of this equation where i is...
3 days ago

One side of an equilateral triangle is 24 cm. The mid points of its sides are joined to...
The larger triangle will have the perimeter 72 cm. After joining the mid points of the triangle a small triangle also called pedal triangle is formed whose sides are 12 cm and perimeter 36 cm. This...
4 days ago

What are the roots of the quadratic equation x² + 4x + 7 = 0?
This is a equation with imaginary roots. Discriminant<0 2+i root3, 2i root 3
4 days ago

`a`, `b` be roots of x^21154x+1=0, then find the value of "(a)^1/4+(b)^1/4".
According to the equation given, a+b=1154 and ab=1. let a^1/4+b^1/4= k k^2= a^1/2+b^1/2+2(ab)^1/4 Since ab=1 k^2= a^1/2+b^1/2+2 root A+ root b= k^22........(This value is important) Now calculate k^4...
4 days ago

`A`, `B` be roots of x^26x2=0 with A>B. If T(n)= A^n B^n, where n is an integer. Find...
See the question is very easy to tackle. What you need to do is derive value from the equation given....
4 days ago

(2x+3y) is divisible by 17,then for what value of k; (9x+ky) is divisible by 17.
Please...
4(2x+3y)+(9x+5y) = 17(x+y). Since RHS is divisible by 17, and so is 4(2x+3y), we must have 9x+5y also divisible. Hence for any k such that k = 5+19m for any integer m, we have 9x+ky divisible by 17
4 days ago

[SQRT(1)]+[SQRT(2)]+[SQRT(3)]+.......+[SQRT(2115)]=? WHERE SQRT MEANS SQUARE ROOT
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5 days ago

`p` is an odd positive integer and x^2px+q=0 has two distinct real roots which are both...
Regards, Nirmal Singh Askiitians Faculty
5 days ago

find the intervals on which the functions are increasing and decreasing? 1.f(x)=(x+1)^3...
df/dx=(x+1)^3.2(x3)+(x3)^2.3(x+1)^2 =(x+1)^2(x3)[2(x+1)+3(x3)] =(x3)[2x+2+3x9] =(x3)(5x7) for function to be increasing df/dx>or=0 (x3)(5x7)>or =0 x<or=7/5 or x>or=3 i.e....
5 days ago

`A`, `B` are roots of ax^2+bx+c=0 & `A`, `B^2` are roots of px^2+qx+r=0. Find the...
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5 days ago

how many 4 digit numbers can be formed using the digits 1,2,3,4,5 such that 2 digits are...
since 2 digits are repeated therefore we have to select 3 digits out of 5 & this can be done by 5c3 =10 ways now we can arrange these digits 4!/2!=12 so total no.=10x12=120. Thanks & Regards...
5 days ago

value of x in: [sq.root(x)/sq.root(1x)] + sq.root(1x)=5/2 ? How to solve this?
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5 days ago

how to prove that when ellipse and hyperbola intersect orthogonally , they are confocal.
First of all, write the equations of hyperbola and ellipse in general form. They intersect at 2 points. Take one point and write the equations of tangent to both ellipse and hyperbola at the point of...
5 days ago

Find all n ? N, such that the equation x8/n10 = n/x has no solution .
We get : x^2  8x + 10n  n^2 = 0 For no roots, D<0 64  4(10nn^2) <0 64  40n + 4n^2 <0 n^2  10n + 16 < 0 (n8)(n2) < 0 n = (2,8) Hence, n can be 3,4,5,6,7 for no solution of x...
5 days ago