12th Maths First Mid Term Question Paper 2026 | 12th Maths 1st Midterm Important questions 2026

[00:00:00]Hello students.

[00:00:10]for important question.

[00:00:26]So first one next fourth one of next fifth one the conj of a complex number is 1 by ius then the complex number is dash sixth one ifus one by z + 1 is purely imaginary then modus that is dash Seventh one the amplitude of 1x I is equal to dash.

[00:01:00]So next eth one 0 of xq + 27 is dash.

[00:01:05]Nth one polomial equation of polomial equation x of degree in n always as dash. 10th one pol x - kx as 3 roots if and only if satisfies dash.

[00:01:22]Question number 11 in next 12th one solve by matrix inver 2x + y= - 2 x + 2 y= 3. Okay. Next 13 simplify.

[00:01:39]So n= 1 i^ next 14 find the square root of - x - 6 + 8 i. 15th one, find a polomial equation of minimum degree with rational coefficients having 2 + roo<unk>3 I as a root. Next sixth one, find the least positive integer and such that 1 + i by 1 - i= 1. So next part four question three marks.

[00:02:34]So next one verify A inverse equal to B inverse A inverse with A= and B.

[00:02:43]So next 18th one reduce the matrix. So to row echone formula 19 show that modus 3 - 5 + i = 4 represent a circle and find its center and radius important question.

[00:02:58]Next 20 if modus equal to 3. Now show that 7 less than equal to mod + 6 - 8 i less than 13. Next is 21. Solve the equation 7 xq - 43x² = 43x - 7. Next 22.

[00:03:12]Solve the equation 3xq - 16 x² + 23x - 6 = 0. If the product of two root is one investigate for what values of the system of linear equation solution solution and infinite number of solutions a boy is walking along the path y= x² + b x + c through the points - 6 8 - 2 - 12 and 3. He wants to meet his friend at Pa 60. Will he meet his friend?

[00:03:53]Next 24. Determine the values of gamma for lambda for using the following systems of equations. Okay.

[00:04:01]So as a non-triv= x + i y and a rus 1 by + 1= by 2 show that x² + y²= 1 25 if 2 cos alpha = x + 1x 2 cos beta= y + 1 by y show that x ^ m by y^ - y^= 2 i sin m alpha - n beta x m y + 1x the x m Y = 2 m alpha plus beta.

[00:04:37]So next last so if 2 + i and 3 -<unk>2 are roots of the equation x^ 6 - 13^ 2 find all the values of next questions mark that time. Bye-bye.