HSC Arts (English Medium) १२ वीं कक्षा - Maharashtra State Board Important Questions

माणसं स्वत:चा छंद कसा विसरू शकतात? या वाक्याचे विधानार्थी वाक्य -

किती आतून हसतात ती! या वाक्याचे विधानार्थी वाक्य -

‘दशदिशा’ या सामासिक शब्दातील समासाचे नाव लिहा.

‘पतिपत्नी’ या सामासिक शब्दातील समास ओळखून लिहा.

न हे नयन, पाकळ्या उमलल्या सरोजांतील।

या वाक्यातील उपमेय ओळखा.

सूचनेप्रमाणे सोडवा:

पुढील सगळे मार्ग बंदच होते. (नकारार्थी वाक्य करा.)

खालील विषयावर सुमारे २०० ते २५० शब्दांत निबंध लिहा:

माझे आवडते शिक्षक

Find the symbolic form of the following switching circuit, construct its switching table and interpret it.

Simplify the following circuit so that the new circuit has minimum number of switches. Also, draw the simplified circuit.

Use quantifiers to convert the following open sentences defined on N, into a true statement.

n² ≥ 1

Check whether the following matrix is invertible or not:

`[(cos theta, sin theta),(-sin theta, cos theta)]`

Express the following equations in matrix form and solve them by the method of reduction:

x + 2y + z = 8, 2x + 3y – z = 11, 3x – y – 2z = 5.

In ΔABC, prove that `tan((A - B)/2) = (a - b)/(a + b)*cot  C/2`.

Select the correct option from the given alternatives:

In ΔABC if c² + a² – b² = ac, then ∠B = ____.

The principal solutions of `sqrt(3)` sec x − 2 = 0 are ______

With usual notations, prove that `(cos "A")/"a" + (cos "B")/"b" + (cos "C")/"c" = ("a"^2 + "b"^2 + "c"^2)/(2"abc")`

Find the principal solutions of tan x = `-sqrt(3)`

In ΔABC, if a cos A = b cos B, then prove that ΔABC is either a right angled or an isosceles triangle.

If the angles A, B, C of ΔABC are in A.P. and its sides a, b, c are in G.P., then show that a², b², c² are in A.P.

Find the separate equations of the lines represented by the equation 3x² – 10xy – 8y² = 0.