
find the intervals on which the functions are increasing and decreasing? 1.f(x)=(x+1)^3...
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2 hours ago

(2x+3y) is divisible by 17,then for what value of k; (9x+ky) is divisible by 17.
Please...
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18 hours ago

how to Find the Domain and Range of Functions involving Sin x , cos x , log etc ???
1. domain is find by checking if function is defined on the points or not, for example log is defined only for positive real numbers, while sinx and cosx are defined for all real numbers. 2. once...
19 hours ago

I need to find the tangent line to an ellipse by only knowing the slope of a parallel line...
Equation of ellipse : x²/a² + y²/b² = 1 Let the point of tangency, whose coordinates will also satisfy the equation of the tangent line, be (p,q). The slope of the tangent line is equal to the value...
yesterday

How to approximately draw a parabola given its equation : ax^2 + bx + c = y
First check if the roots of y are real or not from Discriminant : If D > 0, the parabola cuts the xaxis at two points If D=0, the parabola touches the xaxis If D<0, the parabola doesnt touches...
yesterday

What is DeMoivre`s theorem in complex numbers ?
De Moivre’s Theorem : It is a formula useful for finding powers and roots of complex numbers . Say, given a complex number z, and you have to find its cube. Dont use the usual method to multiply z...
yesterday

How to find the equation of curves which pass through the intersection of two curves whose...
For these type of questions, you have to use a parameter A to find the equation of the desired curve. If the two curves are given as f(x) and g(x), and we have to find the equation of a curve which...
yesterday

Find A and B if the following equation if of a circle : (Ax)^2 + (B+4)y^2 + (A3)xy + 5x +...
If the equation is of circle : xy term should be zero : A3 = 0 , Hence A = 3 The coefficient of x^2 and y^2 should be equal : A^2 = B + 4 Hence, B = 5 , A = 3 Thanks Bharat Bajaj IIT Delhi askiitians...
yesterday

What is the general equation of tangent to parabola?
Say, the general equation of parabola is : y^2 = 4ax Then , the equation of tangent to the parabola at (x1,y1) is : y.y1 = 2a(x+x1) Thanks Bharat Bajaj IIT Delhi askiitians faculty
yesterday

x1,x2 are positive integers.what is the minimum value of x2,when (43/240)<(x1/x2)<(17/94)
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2 days ago

For the function y =[(xa)/(a^2 b^2)] and the initial value of the independent variable...
y = 1/ab = xa / (a+b)(ab) Hence, 1 = x1/a+b a+ b = x  1 Hence, terminal value of x = a+b + 1 Thanks Bharat Bajaj IIT Delhi askiitians faculty
2 days ago

Find the coefficient of x^99 in the following...
Say the function if f(x) = (x1)(x2)...(x100) The roots of this function is 1, 2, 3,... 100 f(x) = x^100 + ax^99 + bx^98 .... + n sum of roots = a = 1 + 2 .. 100 = 100(101)/2 = 5050 Hence, coeff of...
2 days ago

Find the coefficient of x^19 in the following...
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3 days ago

sinx +cosx=k
find value of sin2x
(sin x + cos x)^2=k^2 , 1 + sin 2x = k^2 , sin 2x = k^2 1
3 days ago

43/240
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3 days ago

prove sinx^2+cosx^2=1, graphically.
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3 days ago

Factorise:
a^3b^3+c^3+3abc
Please give the complete solution.
i think question should be a^3+b^3+c^33abc =(a+b+c)(a^2+b^2+c^2abbcac) sher mohammad b.tech, iit delhi
3 days ago

function f:RR defined by f(x)=6^x+6^x is
f(x)=6^x+6^x , is neither even nor odd.
3 days ago

in a match the column question, column 1 conatains 10 questions and column 2 contains 10...
4 wrong question can be selected in 10C4 ways and this can be permuted in 4! ways, total ways 10C4*4! sher mohammad b.tech, iit delhi
3 days ago

Find the domain of function y = log log log............. log log log x . number of log is...
for logloglog......logloglogx firstly we need to define each log
take the log`s inside the bracket log(logloglog....(n1)....loglogx) and define them :
i.e. loglog...(n1)...loglogx>0 => x>...
3 days ago

The equation root(x+1)  root(x1) = root(4x1) has how many solutions?
root (x+1) root(x1)=root(4x1) squaring both sides, we get x+1+x12root(x^21)=4x1 2x2root(x^21)=4x1 2x+1=2root(x^21) squaring again both sides 4x^2+14x=4(x^21) 4x^2+14x=4x^24 5=4x x=5/4...
4 days ago

ABCD is a trapezium such that AB parallel to CD and BC and CD are perpendicular Ithu than...
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4 days ago

ABCD is a trapezium such thatt AB parallel to CDCD andd BC and CD aree perpendicular...
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4 days ago

Suppose a,b,c are three distinct real numbers.Let
P(x)= (xb)(xc) / (ab)(ac) +...
P(x)=(xb)(xc)/(ab)(ac) + (xc)(xa)/(bc)(ba) + (xa)(xb)/(ca)(cb) =(xa)(xb)(xc)/(ab)(bc)(ca)[(cb)/(xa) +(ac)/(xb)+(ba)/(xc)] Thanks & Regards Rinkoo Gupta AskIITians Faculty
5 days ago

A and B alternatively cut Pack of Cards and Pack is shuffled after each cut.If a starts...
If B gets club first in 3rd trial, then we get: 1st trial: A doesn't get club, B doesn't get club 2nd trial: A doesn't get club, B doesn't get club 3rd trial: A doesn't get club, B gets club Without...
5 days ago