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"How to Prepare ECAT Maths 2017 Part."
Today we come up with a new video. This video will help you to pass or prepare for the ECAT compulsory test to get admission to any university in Pakistan. ECAT 2021 Test maths portion solved here for your preparation.



✨Table of Content✨
00:00 Asim is now three times as old as Irfan. After 10 years, Asim will be twice as old as Irfan. Asim’s at this time is:
01:14 The solution of the equation 𝒙 𝒅𝒚 + (𝒚 − 𝟏)𝒅𝒙 = 𝟎 is:
01:43 The maximum value of the function 𝒇(𝒙, 𝒚) = −𝒙 + 𝟑𝒚 subject to constraints −𝒙 ≤ 𝟐, 𝒙 ≤ 𝟑 and 𝒚 ≤ 𝟏 is at:
02:32 Vectors 𝒖 = 𝒂𝒊 − 𝒋 + 𝒌 and 𝒗 = 𝒊 − 𝟐𝒋 + 𝒃𝒌 are collinear if:
03:00 Vectors 𝒖 = 𝒂𝒊 − 𝒋 + 𝒌 and 𝒗 = 𝒊 − 𝟐𝒋 + 𝒃𝒌 are perpendicular if:
03:37 Equation of a circle with center at (𝟒, 𝟑) and radius = 𝟐 is given by:
04:09 The equation 𝒙^𝟐 +(𝒚−𝟏)^𝟐/𝟒 = 𝟏 represents:
04:32 Let y = ∫[4cos^2(x+π/3)-2]dx , then 𝒚 equals:
05:16 𝒇(𝒙𝒐 + 𝜹𝒙) ≈ 𝒇(𝒙𝒐) + 𝒇′(𝒙𝒐)𝜹𝒙, therefore the approximate value of 𝑺𝒊𝒏 (𝟗𝝅/𝟏𝟎) is:
05:56 The hypotenuse of a right triangle is 𝟓 𝒄𝒎. To obtain a triangle with maximum area, the sides must be:
07:05 If 𝒚 = 𝒆^𝒔𝒊𝒏 𝒙 𝒄𝒐𝒔 𝒙, then 𝒅𝒚/𝒅𝒙 is:
07:41 The function 𝒇(𝒙) =𝒙^𝟑/𝟑−𝒙^𝟐/𝟐+ 𝟓 has:
08:32 The line that passes through the point of intersection of 𝒙 + 𝒚 − 𝟏 = 𝟎 and 𝒙 = 𝟎 and is parallel to the line 𝒙 − 𝒚 = 𝟎 is given by:
09:02 log3^27 - log5^25 is equal to:
09:48 If 𝒚 = 𝟐^𝒙, then 𝒅𝒚/𝒅𝒙 equals:
10:11 A particle’s trajectory in space is given by 𝒙 = 𝟖𝒕 − 𝟐𝒕^𝟐, 𝒚 = 𝟏𝟐𝒕 − 𝒕^3, 𝒛 = 𝟒, the particle is at rest at the point:
11:20 If 𝒇(𝒙) = 𝟑𝒙 − 𝟏and 𝒈(𝒙) = 𝒙(𝒙 − 𝟏), then 𝒈𝒇−𝟏(𝒙) is:
11:59 The period of the function 𝒚 = 𝟑 𝒔𝒊𝒏(𝒕/𝟖) is:
12:31 A wire of length L can be shaped into a circle or a square. The ratio of the area of the square
divided by the area of the circle is:
13:24 If 𝒔𝒊𝒏 (𝒙 +𝝅/𝟐) = 𝒄𝒐𝒔 (𝒙 + 𝝅)and −𝝅 ≤ 𝒙 ≤ 𝟐𝝅, then 𝒙 equal to:
14:36 Using Binomial theorem,5^√𝟒𝟎 approximates to:
14:49 A box contains 15 red, 10 green and 5 yellows toffees. Asim picks 2 green toffees and 1 red toffee out of the box and eats them. What is the probability that Irfan will now pick a green toffee to eat?
16:14 log2^8x =18 means that 𝒙 is equal to:
16:41 The 𝒌𝒕𝒉 term of a series is given by 𝟐^𝒌 𝟑^−𝒌. The sum of the first 100 terms approximately:
18:06 Let 𝒇(𝒙) = 𝟔𝒙^𝟑 − 𝒙^𝟐 − 𝟒𝒙 − 𝟏:
18:45 If the set 𝑺 = {−𝟏, 𝟎, 𝟏}:
19:15 The additive inverse of 10/(𝟑 − 𝒊) , where 𝒊 = √−𝟏 is:
19:46 A body moves in a straight line from a point X with a speed of 𝒗 = 𝟓𝟎 𝒔𝒊𝒏 𝝅𝒕. The value of X after 30 minutes?
20:30 𝑨 = [𝟏 1 1 3] The rank of matrix A is:
2 0 0 2
𝟎 2 0 2
𝟎 0 2 2
21:03 The reduced low echelon form of a linear system given by
⌈𝟏 𝟎 𝟎 |0⌉
|𝟎 𝟐 −𝟏 |3 |
⌊𝟎 𝟎 𝟎 |1 ⌋






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