2 -3 If A= then adj (3A2 12A) is equal to JEE MAINS 2017 72-84 (1)-63 51 51 63 (2) 84 72 51 84 63 72 72 -63 (4) -84 51 342-9A = 301 2 3 -4 1 Sol. A= 342 + 12A = 301 + 21 A 2- -3 30 0 0 308421 72 -63 -84 51 42 -63 IA-All = f(A) 2-32-10 51 63 .. A satisfies f(X) adj(3A2 +12A) = 84 72 A2-3A-10/ = 0 Answer (2)

Let be a complex number such that 2 + 1 = z where z=V-3 . If MAINS 2017 11 1 -of-1 of JEE 3k, then k is equal to (4) 1 C0 2 Sol. 2() + 1 = z , z = V3i Cube root of unity 2 1-1-0,-0) 3V3i =11 10 k =-z

If S is the set of distinct values of b for which the following system of linear equations x + y + z = 1 (1) An empty set (2) An infinite set ax + by + z = 0 has no solution, then s is (3) A finite set containing two or more elements (4) A singleton JEE MAINS x + ay + z = 1 2017 -(1-a)2-0 a-1 For a = 1 Eq (1) & (2) are identical ie., x y + z = 1 To have no solution with x + by + z = 0 x+y+z=1 x + ay + z = 1 Sol. (ii) (iii) ax + by + z 0 D=0 Answer (4)

17 lessons,

2h 38m

Enroll

360

✕Download

Shivam Gupta

JEE Mains and Advanced Mathematics with Shivam Sir
Be maths expert with us - Aspire Study Youtube Channel NIMCET PYQs

U

Unacademy user

Shweta यादव

a year ago

please use hindi language

1

Reply

Deepankar Singh

a year ago

sure Vani. :)
thank you for the feedback.

Rahul Kumar

7 months ago

how value of umega square is acting as conjugate in 2nd question

0

Reply

Muskan Jaiswal

10 months ago

Sir is question me simple tarike se nhi kr sakte jaise 3A square and 12A Square nikalne ke baad kre fir uska adjoint nikale but aise answer nhi aa rha

0

Reply

Evil Gemini

10 months ago

sir plz differential equation ka banaiye na

0

Reply

Muskan Jaiswal

10 months ago

sorry 12A hai square nhi sir

0

Reply

N

Nagendar

a year ago

I need matrix questions

1

Reply