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Showing posts with the label 2). Mathematics-HSEB Model Question - I (2068)

10. Find the direction cosines of two lines which are connected by the relations 2l + 2m ñ n = 0, mn + nl + lm = 0.(Grade 12 HSEB)

10. Find the direction cosines of two lines which are connected by the relations 2l + 2m ñ n = 0, mn + nl + lm = 0.(Grade 12 HSEB)
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9. For any positive integer n, prove that,(Grade 12 HSEB)

9. For any positive integer n, prove that,(Grade 12 HSEB)
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b) Define linearly independent vectors. Show that the following vectors are linearly dependent.(Grade-12 HSEB)

b) Define linearly independent vectors. Show that the following vectors are linearly dependent.(Grade-12 HSEB)
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a) What is a conic section? Find the equation of the tangent to the parabola y2 = 8x which is parallel to the straight line 2x ñ 3y + 7 = 0. Also find its point of contact.(Grade-12 HSEB)

a) What is a conic section? Find the equation of the tangent to the parabola y2 = 8x which is parallel to the straight line 2x ñ 3y + 7 = 0. Also find its point of contact.(Grade-12  HSEB)
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Find the integral (Grade-12 HSEB)

Find the integral (Grade-12 HSEB)
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b) What is a group? If a binary operation * is defined on a set .(Grade-12 HSEB)

b) What is a group? If a binary operation * is defined on a set .(Grade-12 HSEB)
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Solve the differential equation-Grade 12

Solve the differential equation
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Find the integral (Grade 12 HSEB)

Find the integral
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2. a) Find the equation of a hyperbola in standard position such that the length of transverse axis is 6 and it passes through (4, 2). (Grade-12 HSEB)

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