AP EAMCET · Maths · Vector Algebra
In \(\triangle A B C\) if \(A(\alpha), B(\beta)\) and \(C(\gamma)\) are the position vectors of the vertices, then the length of the perpendicular from \(A\) to \(B C\) is
- A \(|\alpha \times \beta|+|\beta \times \gamma|+|\gamma \times \alpha|\)
- B ,
\(|\alpha \times \beta+\beta \times \gamma+\gamma \times \alpha|\) - C \(\frac{|\alpha \times \beta+\beta \times \gamma+\gamma \times \alpha|}{|\alpha-\beta|}\)
- D \(\frac{|\alpha \times \beta+\beta \times \gamma+\gamma \times \alpha|}{|\gamma-\beta|}\)
Answer & Solution
Correct Answer
(D) \(\frac{|\alpha \times \beta+\beta \times \gamma+\gamma \times \alpha|}{|\gamma-\beta|}\)
Step-by-step Solution
Detailed explanation
Let \(A B C\) be a triangle and \(\alpha, \beta, \gamma\) be the position vector of the vertices \(A, B, C\) respectively. Let \(A M\) be the perpendicular from \(A\) to \(B C\) Then, Area of \(\triangle A B C\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \((2,-3,6)\) is the foot of the perpendicular drawn from the origin to a plane, then the equation of that plane isAP EAMCET 2017 Easy
- If a hyperbola has asymptotes \(3 x-4 y-1=0\) and \(4 x-3 y-6=0\), then the transverse and conjugate axes of that hyperbola areAP EAMCET 2025 Medium
- The equations \(x-y=4\) and \(x^2+4 x y+y^2=0\) represent the sides of a/anAP EAMCET 2020 Hard
- \(\int \frac{\mathrm{x}}{\sqrt{\mathrm{x}^2-2 \mathrm{x}+5}} \mathrm{dx}=\)AP EAMCET 2025 Medium
- Let \(S_n=\sum_{k=1}^n(-1)^{k-1} \cdot k^2\) for \(n \geq 1\). Given that \(S_{2 n}=-n(2 n+1)\) for \(n=1,2,3, \ldots\). then \(S_{77}=\)AP EAMCET 2018 Hard
- If \(z\) and \(\omega\) are two non-zero complex numbers such that \(|z \omega|=1\) and \(\operatorname{Arg} z-\operatorname{Arg} \omega=\frac{\pi}{2}\) then \(\bar{z} \omega=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- The temperature of the sink of a Carnot engine is . In order to increase the efficiency of the Carnot engine from to , the temperature of the sink should be increased byAP EAMCET 2022 Medium
- A resistor has bands with colours orange, green, silver and gold. Then, the resistance of the resistor isAP EAMCET 2018 Easy
- If the molar solubility (in \(\mathrm{mol} \mathrm{L}^{-1}\) ) of a sparingly soluble salt \(A B_4\) is \(S\) and the corresponding solubility product is \(K_{\text {sp }}\), then \(s\) in terms of \(K_{\mathrm{sp}}\) is given by the relationAP EAMCET 2021 Easy
- A police party is moving in a jeep at a constant speed \(v\). They saw a thief at a distance \(x\) on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration \(a\). Which of the following relations is true if the police is able to catch the thief?AP EAMCET 2011 Hard
- The area (in sq units) bounded by the curves
\(y^2=4 x\) and \(x^2=4 y\) isAP EAMCET 2012 Easy - Which of the following pair of straight lines intersect at right angles?AP EAMCET 2020 Easy