>
Exams
>
Mathematics
>
Triangles
>
if the line x y z intersects the line xsina ysinb
Question:
If the line x = y = z intersects the line
xsinA+ysinB+zsinC-18=0=xsin2A+ysin2B+zsin2C-9,
where A, B, C are the angles of a triangle ABC, then 80
\(\left( sin\frac{A}{2}sin\frac{B}{2}sin\frac{C}{2} \right)\)
is equal to ________.
JEE Main - 2023
JEE Main
Updated On:
Mar 21, 2025
Hide Solution
Verified By Collegedunia
Correct Answer:
5
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
1
Top Questions on Triangles
If the distance of a variable point \(P\) from a point \(A(2,-2)\) is twice the distance of \(P\) from the Y-axis, then the equation of locus of \(P\) is:
AP EAPCET - 2025
Mathematics
Triangles
View Solution
The coordinate axes are rotated about the origin in the counterclockwise direction through an angle \( 60^\circ \). If \( a \) and \( b \) are the intercepts made on the new axes by a straight line whose equation referred to the original axes is \( x + y = 1 \), then \( \dfrac{1}{a^2} + \dfrac{1}{b^2} = \, ? \)
AP EAPCET - 2025
Mathematics
Triangles
View Solution
The image of a point \( (2, -1) \) with respect to the line \( x - y + 1 = 0 \) is
AP EAPCET - 2025
Mathematics
Triangles
View Solution
If
\( \sinh^{-1}(2) + \sinh^{-1}(3) = \alpha \),
then
\( \sinh\alpha = \) ?
AP EAPCET - 2025
Mathematics
Triangles
View Solution
If in
\( \triangle ABC \), \( B = 45^\circ \), \( a = 2(\sqrt{3} + 1) \)
and area of
\( \triangle ABC \)
is
\( 6 + 2\sqrt{3} \)
sq. units, then the side
\( b = \ ? \)
AP EAPCET - 2025
Mathematics
Triangles
View Solution
View More Questions
Questions Asked in JEE Main exam
Three infinitely long wires with linear charge density \( \lambda \) are placed along the x-axis, y-axis and z-axis respectively. Which of the following denotes an equipotential surface?
JEE Main - 2025
electrostatic potential and capacitance
View Solution
The number of 6-letter words, with or without meaning, that can be formed using the letters of the word "MATHS" such that any letter that appears in the word must appear at least twice is:
JEE Main - 2025
Calculus
View Solution
Number of functions \( f: \{1, 2, \dots, 100\} \to \{0, 1\} \), that assign 1 to exactly one of the positive integers less than or equal to 98, is equal to:
JEE Main - 2025
Vectors
View Solution
Let \( P_n = \alpha^n + \beta^n \), \( P_{10} = 123 \), \( P_9 = 76 \), \( P_8 = 47 \), and \( P_1 = 1 \). The quadratic equation whose roots are \( \frac{1}{\alpha} \) and \( \frac{1}{\beta} \) is:
JEE Main - 2025
Sequences and Series
View Solution
Suppose that the number of terms in an A.P. is \( 2k, k \in \mathbb{N} \). If the sum of all odd terms of the A.P. is 40, the sum of all even terms is 55, and the last term of the A.P. exceeds the first term by 27, then \( k \) is equal to:
JEE Main - 2025
Arithmetic Progression
View Solution
View More Questions