AP EAMCET · Maths · Three Dimensional Geometry
If the extremities of a diagonal of a square are \((1,-2,3)\) and \((2,-3,5)\), then the length of its side is
- A \(\sqrt{6}\)
- B \(\sqrt{3}\)
- C \(\sqrt{5}\)
- D \(\sqrt{7}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
Let a be the length of the square. Let \(B \equiv(1,-2,3)\) and \(D \equiv(2,-3,5)\)…
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
- The probability that a person goes to college by car is \(\frac{1}{5}\); by bus \(\frac{2}{5}\) and by train is \(\frac{3}{5}\) respectively. The probabilities that he reaches the college late if he takes car, bus, train are \(\frac{2}{7}, \frac{4}{7}\) and \(\frac{1}{7}\) respectively. If he reaches the college in time, the probability that he traveled by car isAP EAMCET 2024 Medium
- If the vectors \(\mathbf{i}-2 x \mathbf{j}-3 y \mathbf{k}\) and \(\mathbf{i}+3 x \mathbf{j}+2 y \mathbf{k}\) are orthogonal to each other, then the locus of the point \((x, y)\) isAP EAMCET 2011 Easy
- If \(\operatorname{cosech} x=\frac{4}{5}\), then \(\cosh x=\)AP EAMCET 2022 Medium
- If the roots of the equation \(x^2+2 a x+b=0\) are real, distinct and differ atmost by 2 m, then b lies in the intervalAP EAMCET 2025 Medium
- If the point \((\lambda, l+\lambda)\) lies inside the circle \(x^2+y^2=1\), thenAP EAMCET 2021 Easy
- The circumference of a circle is measured as \(56 \mathrm{~cm}\) with an error \(0.02 \mathrm{~cm}\). The percentage error in its area isAP EAMCET 2007 Easy
More PYQs from AP EAMCET
- Which of the following oxides is highly basic?AP EAMCET 2023 Easy
- If \({ }^n C_{r-1}=36,{ }^n C_r=84\) and \({ }^n C_{r+1}=126\), then the value of \(n r^2\) isAP EAMCET 2022 Easy
- Which of the following matrices is not a square-matrix?AP EAMCET 2021 Easy
- What are A and B in the following reactions?
\(\mathrm{A} \xrightarrow{\mathrm{H}_2 / \mathrm{Ni}} \mathrm{RCH}_2 \mathrm{NH}_2 \xrightarrow[\text { ii) } \mathrm{H}_2 \mathrm{O}] {i) \mathrm{LiA} / \mathrm{H}_4} \mathrm{~B}\)AP EAMCET 2017 Easy - In a triangle , if and , then is equal toAP EAMCET 2021 Easy
- If the internal energy of 3 moles of a gas at a temperature of \(27^{\circ} \mathrm{C}\) is 2250 R, then the number of degrees of freedom of the gas is
(R - Universal gas constant)AP EAMCET 2025 Medium