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y=(tan⁻¹x)² Diff.both sides y₁= 2tan⁻¹x/1+x² y₁(1+x²)=2tan⁻¹x Diff.both sides y₂(1+x²)+2xy₁= 2/1+x² y₂(1+x²)²+2y₁x(1+x²)= 2 (proved) Note- y₁=dy/dx , and y₂=d²y/dx

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Three urns contains 2 red balls,3 black;3 red,2 black and 4 red ,1 black balls respectively. One of the urns is selected at random and a ball is drawn. If the ball drawn is red , find the probability that it is drawn from the second urn.

Posted by Prince Tholia 4 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Suryakant Swain 4 years, 4 months ago

Bro probability is not in our syllabus

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A'(adj)=?

Posted by Saema Naaz 4 years, 4 months ago

CBSE > Class 12 > Mathematics

0 answers

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Find dy/dx in 2x+3y=siny

Posted by Thanushetty Shetty 4 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Shraddha ✨✰✰ 4 years, 4 months ago

,ANSWER 2x+3y=siny 2dx/dx + 3dx/dy=cosy×dx/dy 2=(cosy−3)dx/dy ⇒dx/dy=2/cosy−3

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~@Kanchi Jawla 4 years, 4 months ago

dy/dx in 2x+3y=siny is given by- 2+3dy/dx=cosy dy/dx dy/dx=2/(cosy-3)

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Inverse trigonometri

Posted by Anand Kumar Yadav 4 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Mohit Singh 4 years, 4 months ago

Hii

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Shraddha ✨✰✰ 4 years, 4 months ago

What is your question?

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Given that the two numbers appearing on throwing two dice are different. Find the probability of the event ' the sum of numbers on the dice is 4'

Posted by Umme Sidhrath 4 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Gaurav Seth 4 years, 4 months ago

Consider the given events
A = Numbers appearing on two dice are different
B = The sum of the numbers on two dice is 4

Clearly,
A = {(1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
                     (2, 1), (2, 3), (2, 4), (2, 5), (2, 6),
                     (3, 1), (3, 2), (3, 4), (3, 5), (3, 6)
                     (4, 1), (4, 2), (4, 3), (4, 5), (4, 6),
                     (5, 1), (5, 2), (5, 3), (5, 4), (5, 6),
                     (6, 1), (6, 2), (6, 3), (6, 4), (6, 5)}
B = {(1, 3), (3, 1) and (2, 2)}

Now ,

A∩B={(1,3) and (3,1)}

∴ Required probability =P(B/A) = n(A∩B) / n(A) = 2 / 30 =1 / 15

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Yogita Ingle 4 years, 4 months ago

When two dice are thrown, there are 36 possibilities.
However, we are given, every time both dice contain different numbers means doublet is not a possibility.
As, number of doublets are 6, so, sample space, S=36-6=30
Number of possibilities of the event when sum of dice is 4, (1,3),(3,1).
Here, we won′t take (2,2) as both dice contain different numbers.So,
E=2
So, P(E)=2/30=1/15

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How can we find a unit vector perpendicular to two vectors? Doesn't n cap represent a vector perpendicular to two vectors? Why can't that be used in example 23?

Posted by Kajal Gupta 4 years, 4 months ago

CBSE > Class 12 > Mathematics

2 answers

Kajal Gupta 4 years, 4 months ago

Thank you, but my doubt is n cap is also a unit vector perpendicular to both a and b vector. Then why can't we use that?

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Shraddha ✨✰✰ 4 years, 4 months ago

Cross product of vectors A and B is perpendicular to each vector A and B. ∴ for two vectors →Aand→B if →C is the vector perpendicular to both. =(A2B3−B2A3)ˆi−(A1B3−B1A3)ˆj+(A1B2−B1A2)ˆk .

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MUJHE YE PUCHANA HAI KI BOARD MAI QUESTIONS TWIST KAR KAI ATA HAI YA DIRECT NCERT KA BOOK SAI DIA DIYA JATA HAI PLEASE BATA DO KOI

Posted by Adarsh Raj 4 years, 4 months ago

CBSE > Class 12 > Mathematics

4 answers

Ghanshyam Deshmukh 4 years, 4 months ago

Maths me question twist krne jaisa kuch nhi hai Basics clear hone chahiye ki question solve kaise krna hai phir toh board waale no. Bas change krte hai

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Siddhi Singh 4 years, 4 months ago

Twist

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Shraddha ✨✰✰ 4 years, 4 months ago

Twist

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Aman Kumar 4 years, 4 months ago

Twist

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Find the value of k so that the lines x=-y=kz and x-2=2y+1=-z+1

Posted by Ankit Sahu 4 years, 4 months ago

CBSE > Class 12 > Mathematics

0 answers

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Examine the continuity of the function f(X)=X/sin3x,X not equal to 0 3,X= 0

Posted by Gy Rr 4 years, 4 months ago

CBSE > Class 12 > Mathematics

0 answers

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What is solving of linear equations by two or three variables using inverse of matrices?

Posted by Bhavya Varshney 4 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Shraddha ✨✰✰ 4 years, 4 months ago

To solve a system of linear equations using an inverse matrix, let A be the coefficient matrix, let X be the variable matrix, and let B be the constant matrix. Thus, we want to solve a system A X = B \displaystyle AX=B AX=B.

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Difference between relation and function

Posted by Radhika Singhania 4 years, 4 months ago

CBSE > Class 12 > Mathematics

1 answers

Gaurav Seth 4 years, 4 months ago

<th>

Definition	A relation is a relationship between sets of values. Or, it is a subset of the Cartesian product	A function is a relation in which there is only one output for each input.
Denotation	A relation is denoted by “R”	A function is denoted by “F” or “f”.
Example	R = {(2, x), (9, y), (2, z)} ** It is not a function, as “2” is input for both x and z.	F = {(2, x), (9, y), (5, x)}
Note:	Every relation is not a function.	Every function is a relation