Hello Richa, PFA the solution. and please do not post/discuss the questions ( from copy CAT -1) till the window of the test (Copy CAT -1) is not c...

Hello Samyak , 22.22% = 2/9 , 20% = 1/5 using allegations 2/9 1/5 k 5 7 => (2/9 -...

Hello Yamin, 4 × 12 = 103 4× ( 1•b + 2) = 1•b² + 0•b + 3 4b + 8 = b²+ 3 b² - 4b - 5 = 0 b² - 5b + b -5 = 0 b ( b -5) + 1 ( b -5) = 0 ...

Hello Tarishi , Assume 100g costs 100 and adds 20% impurity 100g will become 120gnow instead of using 100 gm weigh he is using 80 gm weight so 100g we...

Alternate Approach :

Hello Yamin, put x = 0 in the expression x² - 2ax + a² + a - 3 it reduces toa² + a - 3 = 0 a = -1/2 + (√13)/2 and -1/2 + √13/2 Here roots are less t...

x³ - ax² + bx -a = 0 x² ( x - a) + b ( x-a) = 0 if , b = 1 , then the equation reduces to x²( x - a) + (x-a) = 0 (x-a)(x² + 1) = 0 it has one real roo...

Hello Yamin,Sum of roots = a + a² = -p/3 ..... (1) Product of the roots = a³ = 3/3 = 1 ... (2) a³ -1 = 0 (a-1)( a² + a + 1 ) = 0 (a-1) = 0 or ( a² + a...

Hello Yamin , a and b are roots So , a + b = a² + b² and ab = a²b² => ab(ab - 1) i) a = 0 => b = 0 or 1 ii) b = 0 => a = 0 or 1 iii) a...

Hello Richa ! Rotate P to P' 90 degrees with centre B . We get PP' = 6√2 So BPP' = 45 degrees Now cosP'PC = √2/2cosP'PC = 45 degrees too. So , Area = ...

Q . 2

Q. 1

Hello Richa ! PFA the approch.

Hello Richa ! The area of the region outside the house that the dog can reach = Shaded area shown in the figure = π(12^2 ) x 240/360 + π ( 6^2) x 12...