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A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lense and the mirror is 10 cm . A small object is kept at a distance of 30 cm from the lens. The final image is



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Consider the family of all circles whose centers lie on the straight line `y=x`. If this family of circles is represented by the differential equation `P y^(primeprime)+Q y^(prime)+1=0,`where `P ,Q`are functions of `x , y`and `y^(prime)(h e r ey^(prime)=(dy)/(dx),y^=(d^2y)/(dx^2)),`then which of the following statements is (are) true?(a)`P=y+x`(b)`P=y-x`(c)`P+Q=1-x+y+y^(prime)+(y^(prime))^2`(d)`P-Q=x+y-y^(prime)-(y^(prime))^2`

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Question Text | A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lense and the mirror is 10 cm . A small object is kept at a distance of 30 cm from the lens. The final image is |