The sum of all the roots of the equation , is:...

Let $ aligned & t^2-5 t+6=0 \\ & t=2 \& t=3 \\ & |x-1|=2 \&|x-1|=3 \\ & x-1 2 \& x-1= 3 \\ & x=1 2 \& x=1 3 \\ & root =3,-1,4,-2 \\ & Sum of root =3+(-1)+4+(-2)=4 aligned $...

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Let c and d be vectors such that c d sqrt29 and c x 2 i 3 j : null (Mathematics) | DivineJEE

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Mathematics

Exam 2026 21st January Shift 1

Mathematics

The sum of all the roots of the equation

(\mathrm{x}-1)^{2}-5|\mathrm{x}-1|+6=0

, is:

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The minimum number of elements that must be added to the relation R = {(a,b),(b,c),(b,d)} on the set { a,b,c,d} so that it is an equivalence relation is

Area of the region (x,y):x^2+(y-2)^2≤4,x^2≥2y is

For integers n and r let n r nCr ifn ge r ge 0 0 otherwise

The area enclosed by the curves xy+4y=16 and x+y=6 is equal to :

For (2 leq r leq n,binom{n}{r} + 2binom{n}{r - 1} + binom{n}{r - 2} =)

Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated, is

The integral int_0^1 \frac{1}{7^{\left[\frac{1}{x}\right]}} {dx}, where [.] denotes the greatest integer function is equal to

Let Z be the set of integers. If A = { x in Z:2^{(x + 2) ( x^{2} - 5x + 6 )} = 1 } and = { x in Z : - 3 < 2x - 1 < 9}, then the . number of subsets of the set A X B is

The area of the region enclosed by the parabolas y=4x-x^2 and 3y=(x-4)^2 is equal to

Let A = { 1,3,4,6,9} and B = { 2,4,5,8,10}. Let R be a relation defined on A X B such that R = {( ( a_{1},b_{1} ), ( a_{2},b_{2} )):a_{1} ? b_{2} and b_{1} ? a_{2}}. Then the number of elements in the set R is

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