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 What is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)? (a) 6 (b) 10 (c) 14 (d) 16 Answer =  Intersection among 4 lines =4^C_{2} = 6 points.  Intersection of 4 lines with circle, Each line can intersect the circle at most 2 times, giving 4 × 2 = 8 points. Total intersection = 6+8=14 points . . Option (c) is correct.

  Select the answer using the code given below. (a) Both I and II (b) Both II and III (c) Both I and III (d) All I, II and III Answer = Statement 1 :P cap Q is reflexive if P and Q are reflexive. +0 Correct : If (a, a) \in P and (a, a) \in Q then (a, a) in P cap Q Statement II :P cup Q is symmetric if P and Q are symmetric Correct: If (a, b) in P cup Q then (b, a) \in Q (b, a) \in P So (b, a) in P cup Q Statement III: POQ is transitive if P and Q are transitive. Correct: If (a, b) in P cap Q and (b, c) in P cap Q then (a, c) in P cap Q .. Option (d) is correct.

Answer = We have, the vertex A lies on the parabola y ^ 2 = 4kx Two points lying on the parabola are P(4k,4k) and Q(4k, - 4k) ... The coordinates of the vertex A are (0, 0) The correct option is (b).

Aarti Sareen - first woman Director General Armed Forces Medical Services Naima Khatun - first woman vice- chancellor, Aligarh Muslim University Sadhana Saxena Nair first woman Director General, Medical Services (Army) Avani Lekhara - first woman to win two gold medals at Paralympics Kamya Karthikeyan - Youngest Indian woman to climb Mount Everest Jyoti Ratre - Oldest Indian woman to climb Everest Anamika Rajeev - Indian Navy's first female helicopter pilot Preeti Rajak is the first woman Subedar of Indian Army Aditi Sen Dey - first woman scientist to receive GD Birla Award Supreeta CT - first woman (Air Defence Corps) posted in Siachen Glacier Madhavi Manu Kashyap is the country's first transgender sub- inspector (Bihar) Akshata Krishnamurthy is the first Indian to operate a rover on Mars Fatima Wasim - first woman medical officer to be posted at an operational post in Siachen Geetika Kaul - first woman medical officer posted in Siachen Jaya Verma Sinha is the f...

  Here are some JEE past year questions from the chapter on Determinants: 1. 2007: * Evaluate the determinant: $\begin{vmatrix} 1 & 2 & 3 \\ 2 & 3 & 4 \\ 3 & 4 & 5 \end{vmatrix}$ 2. 2008: * If $A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}$, then find the value of $|A^2|$, where $|A|$ represents the determinant of matrix $A$. 3. 2010: * Let $A = \begin{bmatrix} 1 & 0 & 0 \\ 2 & 3 & 0 \\ 3 & 4 & 5 \end{bmatrix}$. Find the value of the determinant of $A$. 4. 2011: * If $A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$, then find the value of $|A^2 - 3A + 2I|$, where $I$ is the identity matrix. 5. 2013: * Evaluate the determinant: $\begin{vmatrix} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6 \end{vmatrix}$ 6. 2015: * Let $A = \begin{bmatrix} 1 & 0 & 0 \\ 2 & 3 & 0 \\ 3 & 4 & 5 \end{bmatrix}$. Find the value of the determinant of $A^2$. 7. 2016: * If $A = \begin{bmat...

JEE Advanced PYQ's from 2007 to 2023 link is here 👉   Download Now Here are the past year question papers for JEE (Advanced) from 2007 to 2023 ¹: 1. 2007: Paper 1 and Paper 2 2. 2008: Paper 1 and Paper 2 3. 2009: Paper 1 and Paper 2 4. 2010: Paper 1 and Paper 2 5. 2011: Paper 1 and Paper 2 6. 2012: Paper 1 and Paper 2 7. 2013: Paper 1 and Paper 2 8. 2014: Paper 1 and Paper 2 9. 2015: Paper 1 and Paper 2 10. 2016: Paper 1 and Paper 2 11. 2017: Paper 1 and Paper 2 12. 2018: Paper 1 and Paper 2 13. 2019: Paper 1 and Paper 2 (English and Hindi) 14. 2020: Paper 1 and Paper 2 (English and Hindi) 15. 2021: Paper 1 and Paper 2 (English and Hindi) 16. 2022: Paper 1 and Paper 2 (English and Hindi) 17. 2023: Paper 1 and Paper 2 (English and Hindi)