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JEE-Main - Grade 11 - Mathematics - Conic Sections - Importance and Snapshot of Conic Sections - Study ref# 632

Introduction In this Chapter, we shall study about some curve, viz., circle, ellipse, parabolas and hyperbolas. The names parabola and hyperbola are given by Apollonius. These curves are in fact, known as conic sections or more commonly c... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Importance and Snapshot of Conic Sections - Study ref# 633

Following sections must be covered to understand the Conic Sections: 1. Sections of a Cone 2. Circle 3. Parabola 4. Ellipse 5. Hyperbola... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Target Setup for Conic Sections - Study ref# 634

Student requires to achieve the following milestones to get better grip over Conic Sections. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test000%Subje... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5286

Find the equation of the circle with Center (0,2) and radius 2 Answer: Here h=0, K=2 and r=2 The equation of circle is, ... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5287

Find the equation of the circle with Center and radius Answer: Here h= , K= and r= The equation of circle is, ... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5288

Find the equation of the circle with Center(-a,-b) and radius Answer: Here h=-a, K=-b and r= The equation of circle is, read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5289

Find the centre and radius of the circle Answer: The given equation of circle is Comparing it with we have h=2,k 4 and r = Thus, co- ordinat... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5290

Find the centre and radius of the circle Answer: The given equation of circle is, Comparing it with we have Thus co-ordinates of the center are and radius... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5291

Find the equation of the circle passing through the points (4,1) and (6,5) and whose center is on the line 4x+y=16 Answer: The equation of the circle is, …(i) Since the circle passes through point(4,1) ... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5292

Find the equation of the circle passing through the points (2,3) and (-1,1) and whose center is on the line x-3y-11=0. Answer: The equation of the circle is, …..(i) Since the circle passes through point(2,3) ... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5293

Find the equation of the circle with radius 5 whose center lies on x-axis and passes through the point (2,3). Answer: Since the center of the circle lies on x-axis, the co-ordinates of the center are (h, 0). Now the circle passes through the point... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5294

Find the equation of a circle with center (2,2) and passes through the point (4, 5). Answer: The equation of the circle is, …..(i) Since the circle passes through the point (4, 5) and the co-ordinates of the... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5295

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum x2=6y Answer: The given equation of parabola is x2=6y which is of the form x2=4ay. ∴ coordinates of... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5296

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum x2=-16y Answer: The given equation of parabola is , which is of the form coordinates of focus a... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5297

Find the equation of the parabola that satisfies the given condition: Focus (6,0); directrix x=-6 Answer: We are given that the focus (6, 0) lies on the x-axis, therefore x-axis is the axis, therefore x-axis is the axis of parabola. Also... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5298

Find the equation of the parabola that satisfies the given condition: Vertex(0, 0); focus (3, 0) Answer: Since the vertex of the parabola is at (0, 0) and focus is at (3, 0)The axis of parabola is along x-axis The equation of the fo... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5299

Find the equation of the parabola that satisfies the given condition: Vertex (0, 0), passing through (2, 3) and axis is along x-axis. Answer: Since the vertex of the parabola is at (0,0) and the axis is along x-axis. ∴ The eq... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5300

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 Answer: We have been given an equation of ellipse The equation of ellipse in... read more

JEE-Main - Grade 11 - Mathematics - Conic Sections - Study ref# 5301

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 Answer: Give equation of ellipse is ") .addClass("arrow") .addClass(feedback.vertical) .addClass(feedback.horizontal) .appendTo(this); } } }); }); function ValidateSearchDetails() { var SearchText = $("input[id*='txtSearchText']").val(); var SearchCourse = $("select[id*='ddlSearchCourse']").val(); var returnflag = true; // SearchText Validation Start var ValidSearchText = false; if (SearchText == "") { $("input[id*='txtSearchText']").css("background-color", "#fffe96"); $("input[id*='txtSearchText']").attr("title", "Please Type your query."); returnflag = false; ValidSearchText = false; } else { $("input[id*='txtSearchText']").css("background-color", "none"); ValidSearchText = true; } ManageTitle("input[id*='txtSearchText']", ValidSearchText); // SearchText Validation End // SearchCourse Validation Start var ValidSearchCourse = false; if (SearchCourse == "0") { $("select[id*='ddlSearchCourse']").css("background-color", "#fffe96"); $("select[id*='ddlSearchCourse']").attr("title", "Please Select Course."); returnflag = false; ValidSearchCourse = false; } else { $("select[id*='ddlSearchCourse']").css("background-color", "none"); ValidSearchCourse = true; } ManageTitle("select[id*='ddlSearchCourse']", ValidSearchCourse); // ddlSearchCourse Validation End return returnflag; //alert('Ok'); } function ManageTitle(Control, returnFlag) { if (returnFlag == true) { $(Control).removeAttr("title"); } }

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