Home
Class 12
MATHS
If A+B+C= pi and Delta =|{:(sin^2A,cotA,...

If A+B+C= `pi and Delta` =`|{:(sin^2A,cotA,1),(sin^2B,cotB,1),(sin^2C,cotC,1):}|` , find `Delta +5` .

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Matrix Match Type)|2 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type)|7 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Multiple Correct Answers Type)|5 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

If f(theta)=|[sin^2A,cot A,1],[sin^2B,cotB,1],[sin^2C,cotC,1]| , then (a) t a n A+t a n B+t a n C (b) cotAcotBcotC (c) sin^2A+sin^2B+sin^2C (d) 0

In any /_\ A B C , prove that (b^2-c^2)cotA+(c^2-a^2)cotB+(c^2-b^2)cotC=0

ABC is a triangle. sin((B+C)/(2))=

If in Delta ABC , Prove that, a^2 sin(B-C)= (b^2-c^2)sinA

In A B C , if b^2+c^2=2a^2, then value of (cotA)/(cotB+cotC) is

In any triangle ABC prove that a^2cotA+b^2cotB+c^2cotC=(abc)/R

In Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=

A+B+C=pi ,prove that sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/2)sin(C/2)

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: if A ,B ,C are the angles of a triangles and |[1, 1, 1], [ 1+sin A ,1+sinB, 1+sin C], [ sin A+sin^2A, sin B+sin^2B,sin C+sin^2C]|=0 , then triangle may not be equilateral Statement 2: if any two rows of a determinant are the same, then the value of that determinant is zero.

In a triangle ABC, if a, b, c are in A.P. and (b)/(c) sin 2C + (c)/(b) sin 2B + (b)/(a) sin 2A + (a)/(b) sin 2B = 2 , then find the value of sin B