DSSSB TGT Mathematics Mock Test - 10 - DSSSB TGT/PGT/PRT MCQ

SAEL Industries Ltd will set up biomass power plants in Rajasthan with the help of a loan of up to Rs. 754 crores from the Asian Development Bank (ADB).

The first Indian cotton cloth mill was established in 1818 at Fort Gloaster near Kolkata, albeit this mill was a failure. The second mill which was established by KGN Daber in 1854 is called the true foundation of modern cotton industry in India. Its name was Bombay Spinning and weaving Company, Bombay.

Chikankari is a traditional Indian embroidery style from Lucknow and is believed to have been introduced by Nur Jahan, the wife of Mughal emperor Jahangir. The literal meaning of the word Chikankari means embroidery which is delicate and shadow work type of embroidery.

Except Haridwar all are city of Uttar Pradesh while Haridwar is the city of Uttrakhand 

As 25 = (5)² → (5 + 1)² + 1 = 37.

As 49 = (7)² → (7 + 1)² + 1 = 65.

• The second sentence of the passage says "Thus, while long processions of unarmed men and women proceeded in file to take possession of police stations, they were fired upon by the Indian constabulary''.

 Hence, the only possible answer is option 3.

“यदि तुम आते तो मैं भी तुम्हारे साथ चलता।” इस वाक्य में हेतुहेतुमद्‌ भूतकाल है। अन्य विकल्प असंगत है ।अतः सही उत्तर विकल्प 2 हेतुहेतुमद्‌ भूतकाल होगा ।

Given:

Let's find out f'(x)

Now as we know that, for any x ∈ R we have

As we know that for an increasing function say f(x) we have

Therefore, the given function f(x) is an increasing function on R.

Given,

The Product Rule is,

By the Product Rule, we have

Given that,

Applying we get

Applying  and weget

Now,expanding along 

We know that,



On rationalizing,






If we put n = 2 then,


Satisfy the equation.

Given: 

Differentiating with respect to x,

Again, Differentiating with respect to x, we get



This is the required differential equation of the given equation of curve.

We know the equation of the circle is:

Let, centre be and radius is .

Now, the required equation of the circle is:

It is given that it passes through point . 

So, this point satisfies the equation also,

Using the identity , we expand the above equation,

So, the required equation of the circle is:

Now, we have to also check the valid point also.

Putting the point in the equation, 

Left hand is equal to the right-hand side.

Thus, point satisfies the equation.

Putting the point in the equation,

Left-hand side is not equal to the right-hand side.

Thus, point does not satisfy the equation.

Putting the point in the equation,

Left-hand side is not equal to the right-hand side.

Thus, point does not satisfy the equation.

Putting the point in the equation,

Left-hand side is not equal to the right-hand side.

Thus, point not satisfy the equation.

Given xy = a² and S = b²x + c²t

For maximum or minimum value of S,

Clearly at (Assuming that )

Thus, minimum value of S is = 

Given, the line makes equal angles with coordinate axes.

Let α, β and γ be the angles made by the line with coordinate axes.

Then,

We know that,

From eq. (i), direction cosines of a line are

Properties of Transpose of a Matrix:
The transpose of the transpose of a matrix is the matrix itself: . 
The transposes of equal matrices are also equal: . 
The transpose of the sum/difference of two matrices is equivalent to the sumvdifference of their transposes:
The transpose of the product of two matrices is equivalent to the product of their transposes in reversed order
Using the Properties of Transpose of a Matrix:

Also, 

Adding equations (1) and (2), we get,