Conic Sections (Ex – 11.3) In each of the Exercises 1 to 9, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. Question 1.x2/36 + y2/16 = 1 Solution:Given equation of ellipse of x2/36 + y2/16 = […]
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It was an incredible experience to conduct the seminar “Jaguar Vision – Exploring the Mind of AI” at DP Yadav +2 School (Ghatwari). This seminar was a platform to introduce our book *Jaguar Vision – Exploring the Mind of AI* to a group of enthusiastic students and locals, who were eager to learn about the
Conic Sections (Ex – 11.2) In each of the following Exercises 1 to 6, find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. Question 1.y2= 12x Solution:The given equation of parabola is y2 = 12x which is of the form y2 = 4ax.∴ 4a
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Conic Sections (Ex – 11.1) In each of the following Exercises 1 to 5, find the equation of the circle with Question 1.center (0, 2) and radius 2 Solution:Here h = 0,k = 2 and r = 2The equation of circle is,(x-h)2 + (y- k)2 = r2∴ (x – 0)2 + (y – 2)2 = (2)2⇒ x2 + y2 + 4
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Straight Lines (Ex – 10.3) Question 1.Reduce the following equations into slope- intercept form and find their slopes and the y-intercepts.(i) x + 7y = 0,(ii) 6x + 3y-5 = 0,(iii) y=0 Solution: Question 2.Reduce the following equations into intercept form and find their intercepts on the axes.(i) 3x + 2y – 12 = 0,(ii) 4x – 3y = 6,(iii) 3y
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I had the honor of hosting an exhilarating seminar titled “Jaguar Vision – Exploring the Mind of AI” at Apex Institute (Dharhara), which also marked the official introduction of my book Jaguar Vision – Exploring the Mind of AI. This event was truly a milestone in my journey as an educator and author, and I
I am incredibly excited to share the details of a truly unforgettable experience—the seminar titled “Jaguar Vision – Exploring the Mind of AI”, which I had the privilege of conducting at Q-Max Public School, Haveli Kharagpur. This event holds a special place in my heart as it marked the very first public introduction of my
Straight Lines (Ex – 10.2) In Exercises 1 to 8, find the equation of the line which satisfy the given conditions: Question 1.Write the equations for the x-and y-axes. Solution:We know that the ordinate of each point on the x-axis is 0.If P(x, y) is any point on the x-axis, then y = 0.∴ Equation
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Straight Lines (Ex – 10.1) Question 1.Draw a quadrilateral in the Cartesian plane, whose vertices are (- 4, 5), (0, 7), (5, -5) and (-4, -2). Also, find its area. Solution:The figure of quadrilateral whose vertices are A(- 4, 5), B(0, 7), C(5, -5) and D(-4, -2) is shown in the below figure. Question 2.The
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Sequences and Series (Ex – 9.4) Find the sunt to n terms of each of the series in Exercises 1 to 7. Question 1.1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ……… Solution:In the given series, there is a sum of multiple of corresponding terms of two
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