Engineering Questions — Mathematics

Q.6. The sum upto 10 terms is equal to :

Q.10. Let C be a circle having centre in the first quadrant and touching the x-axis at a distance 3 units from the origin. If the circle C has an intercept of length on y-axis, then the length of the

Q.15. The square of the distance of the point of intersection of the lines , and from the origin is :

Q.22. Let and . If the number of points where g is not continuous and is not differentiable are and respectively, then is equal to ________.

Q.13. Suppose the two chords, drawn from the point on the circle are bisected by the y-axis. If the other ends of these chords are R and S, and the mid point of the line segment RS is , then is equ

Q.19. The area of the region {(x, y) : , , } is :

Q.23. If , and be three vectors such that and , then is equal to ________.

Q.4. Let and . If and , then among the two statements : (S1): and (S2): , (1) only (S1) is correct (2) only (S2) is correct (3) both (S1) and (S2) are correct (4) both (S1) and (S2) are wrong

Q.11. In an equilateral triangle PQR, let the vertex P be at (3, 5) and the side QR be along the line . If the orthocentre of the triangle PQR is (, ), then is equal to :

Q.9. Let a focus of the ellipse E: be S(4,0) and its eccentricity be . If the point P(3, ) lies on E and O is the origin, then the area of is equal to :