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If |[x+2, 3],[x+5, 4]|=3 , find the val...

If `|[x+2, 3],[x+5, 4]|=3` , find the value of `x`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Prove that the curves "x"="y"^2 and "x y"="k" intersect at right ang...

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  2. Using properties of determinants, prove that following |(a+b+2c,a,b),(...

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  3. If |[x+2, 3],[x+5, 4]|=3 , find the value of x

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  4. Show that the points (1,0), (6,0), (0,0) are collinear.

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  5. If "f"("x")=sqrt((sec"x"-1)/(secx+1))" " find "f '"("x")dot Also fin...

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  6. If xsqrt(1+y)+ysqrt(1+x)=0, find ("dy")/("dx") . To prove (dy)/(dx)=...

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  7. Show that the semi vertical angle of a right circular cone of given ...

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  8. If the equation of a line "A B" is ("x"-3)/1=("y"+2)/(-2)=("z"-5)/4...

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  9. If "f"("x") is an invertible function, find the inverse of "f"("x")...

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  10. If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.

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  11. Solve for x: tan^-1((1-x)/(1+x))=1/2 tan^-1 x, x > 0

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  12. Evaluate: int("x"+cos6"x")/(3"x"^2+sin6"x")" dx"

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  13. If int("e"^("a x")+"bx")"dx"=1/4"e"^(4"x")+(3"x"^2)/2" find the values...

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  14. A and B throw a pair of die turn by turn. The first to throw 9 is a...

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  15. Find the equation of the line passing through the point "P"(4,6,2) ...

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  16. Evaluate: int0^pi(xtanx)/(secx+tanx)\ dx

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  17. Find the area of that part of the circle "x"^2+" y"^2=16 which is ex...

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  18. A man is known to speak truth 3 out of 4 times. He throws a die and...

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  19. An aeroplane can carry a maximum of 200 passengers. A profit of Rs. 80...

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  20. Prove that tan(pi/4+1/2 cos^-1(a/b))+tan(pi/4-1/2 cos^-1(a/b))=(2b)/a

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