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Show that the differential equation x cos⁡(y/x) dy/dx=y cos⁡(y/x)+x is homogeneous and solve it.

Maximize Z=4x+4ysuch that x+2y≤10, 6x+6y≤36, x≤4, x,y≥0

Maximize Z=3x-2y such that x+y≤1, 2x+2y≥4, x,y≥0

In an LPP, Z=ax+by has same maximum value on two corner points on the feasible region, then.....

Find the circumcenter of the ∆ whose sides are:3x-1y+03=03x+4y+03=01x+3y+11=0

tan^(-1)⁡((√(1+x^2 )-1)/x) with respect to tan^(-1)⁡x, x≠0.

Find equation of line parallel to y-axis & drawn through point of intersection of lines........

If x√(1+y)+y√(1+x)=0 & x≠y. Prove that: dy/dx=1/(x+1)^2 . (1+x)^2 dy/dx+1=0

Show that the locus of the mid point of the segment intercepted between the axes of the variable....

A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the.....

Show that the path of a moving point such that its distances from two lines 𝟑𝒙−𝟐𝒚=𝟓 and 𝟑𝒙+𝟐𝒚=𝟓.....

Find perpendicular distance from the origin to the line joining the points (cos 𝛉, sin 𝛉).......

The probability distribution of a random variable X, where k is a constant is given below:....

The random variable X has a probability distribution P(X) of the following form, where ‘k’ is some..

Two cards are drawn simultaneously (or successively without replacement) from a well shuffled.......

Let X be a random variable which assumes values x_1, x_2, x_3, x_4 such that 2P(X = x_1 )=3P(X=.....

A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organizer....

A laboratory blood test is 99% effective in detecting a certain disease when it is in fact,....

Of people having HIV, 90% of the test detect the disease but 10% go undetected. Of people free......

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn...

There are three coins. One is a two headed coin (having head on both faces), another is a biased....

A man is known to speak truth 7 out of 10 times. He throws a die and reports that doublet......

In answering a question on a multiple-choice test, a student either knows the answer or guesses.....

There are two boxes I and II. Box I contain 3 red and 6 black balls. Box II contains 5 red and......