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©answer any one question : 1.find the equation of the plane which passes thrpugh (-2,1,3) and also through the intersection of the planes 2x-7y+4z =0 and 3x-5y+4z+11=0

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Find the equation of the plane which pasees through the point (-2,1,3) and also through the intersection of the planes 2x-7y+4z=0 and 3x-5y+4z+11=0 .

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

Find the equation of the plane which passes through the point (2,1,4) and is prependicular to each of the planes 9x-7y+6z+48=0 and x+y-z=0

answer any one question : (ii) find the equation of the plane passing through the intersection of the planes 2x+y+2z=9 and 4x-5y-4z=1 and through the point (3,2,-1).

Find the equation of a plane which passes through the point (1, 2, 3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0 .

The equation of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0 and x+y+z+4=0 is/ are__

Find the equation of the sphere which passes through (1,0,0),(0,1,0) and (0,0,1) and whose centre lies on the plane 3x-y+z=2.

Find the equation of the plane passing through the intersection of the planes 2x+y+2z=9" and " 4x-5y-4z=1 and through the point (3,2,-1).

Show that the equation of the plane which passes through the point (1,2,3) and parallel to the plane 3x+4y-5z=0 is 3x+4y-5z+4=0 .

Find the equation of the plane passing through the point ( 1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0 .

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2019-EXERCISE
  1. show that A(2,3,-4),B (1,-2,3) and C(3,8,-11) are collinear.

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  2. if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , ...

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  3. (e)ANSWER ANY one question : 1. if P(A) =a and P(B)=b, then show that ...

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  4. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

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  5. if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...

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  6. (b) answer the following questions: 1. if A=[[1,2,2],[2,1,2],[2,2,1]],...

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  7. if AB=[[i,-i],[-i,i]] and B=[[1,-1],[-1,1]], then show that A^8=128B

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  8. Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...

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  9. if cos y=x cos (a+y), (a!= 0) , then show that dy/dx= cos ^2(a+y)/sin ...

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  10. answer the foll. Questions 2. evaluate : int sqrt(1+sec x dx).

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  11. or, evaluate : int dx/((x-1)+ sqrt(x^2-1)

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  12. answer the foll. Questions 3. solve :(e^x+1)y dy-(y^2+1) e^x dx=0 , gi...

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  13. (d) answer ANY one question :1. bar a, bar b and bar c be three vector...

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  14. answer any one question 2. if sum of two unit vectors be a unit vector...

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  15. (e)answer any one question : 1. using integral calculus , find the are...

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  16. answer any one question 2. prove that int1^3 dx/(x^2(x+1))=2/3+ log (2...

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  17. answer any one question : 2.eight unbiased coins tossed . Find the pro...

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  18. answer any two questions :2.solve (1+x^2)dy+2xy dx=cot x dx.

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  19. answer any two questions 4. evaluate : lim (n rarr infty) [n/(n^2+1^2)...

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  20. ©answer any one question : 1.find the equation of the plane which pas...

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