WBJEE · Maths · Straight Lines
\(x+8 y-22=0,5 x+2 y-34=0\), \(2 x-3 y+13=0\) are the three sides of a triangle. The area of the triangle is
- A 36 sq units
- B \(19 \mathrm{sq}\) units
- C 42 sq units
- D 72 sq units
Answer & Solution
Correct Answer
(B) \(19 \mathrm{sq}\) units
Step-by-step Solution
Detailed explanation
Given three sides of a triangle are \[ \begin{array}{r} x+8 y-22=0 ...(i)\\ 5 x+2 y-34=0 ...(ii)\\ 2 x-3 y+13=0 ...(iii) \end{array} \] On solving Eqs. (i) and (ii), we get \[ x_{1}=6, y_{1}=2 \] On solving Eqs. (il) and (iii), we get \[ x_{2}=4, y_{2}=7 \] On solving Eqs. (i)…
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
- Let \(P\left(a t^{2}, 2 a t\right), Q,\) R(ar \(^{2}, 2ar)\) be three points on a parabola \(y^{2}=4 a x\). If \(P Q\) is the focal chord and \(P K, Q R\) are parallel where the co-ordinates of \(K\) is \((2 a, 0)\) then the value of \(r\) isWBJEE 2018 Medium
- If \(b_{1} b_{2}=2\left(c_{1}+c_{2}\right)\) and \(b_{1}, b_{2}, c_{1}, c_{2}\) are all real numbers, then at least one of the equations \(\bar{x}^{2}+h_{1} x+c_{1}=0\) and \(x^{2}+b_{2} x+c_{2}=0\) hasWBJEE 2018 Easy
- S and \(T\) are the foci of an ellipse and B is end point of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse isWBJEE 2010 Medium
- Let \(A=\left(\begin{array}{ccc}0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0\end{array}\right)\), thenWBJEE 2024 Easy
- The modulus of \(\frac{1-i}{3+i}+\frac{4 i}{5}\) isWBJEE 2009 Medium
- If \(a, b \in\{1,2,3\}\) and the equation \(a x^{2}+b x+1=0\) has real roots, thenWBJEE 2017 Easy
More PYQs from WBJEE
- What is the particle \(\mathrm{x}\) in the following nuclear reaction :
\({ }_4^9 \mathrm{Be}+{ }_2^4 \mathrm{He} \rightarrow{ }_6^{12} \mathrm{C}+\mathrm{x}\)WBJEE 2009 Medium - Three identical convex lenses each of focal length \(f\) are placed in a straight line separated by a distance \(f\) from each other. An object is located at \(\mathrm{f} / 2\) in front of the leftmost lens. Then,
WBJEE 2023 Hard - In borax the number of B \(-\mathrm{O}-\mathrm{B}\) links and B - OH bonds present are, respectivelyWBJEE 2013 Easy
- The sum of \(n\) terms of the following series \(1^{3}+3^{3}+5^{3}+7^{3}+\ldots\) isWBJEE 2016 Medium
- Lines \(x+y=1\) and \(3 y=x+3\) intersect the ellipse \(x^{2}+9 y^{2}=9\) at the points \(P, Q\) and \(R\). The area of the \(\triangle P Q R\) isWBJEE 2013 Hard
- Dissolving NaCN in de-ionised water will result in a solution havingWBJEE 2017 Easy