If the line ax + 2Y + 1 = 0 is perpendicular to the line x + 3y-2 = 0, what is the value of a?

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• 1. If three straight lines x-2y + 1 = 0, x + 3y-1 = 0 and ax + 2y-3 = 0 have two different intersections, then a=______ ．
• 2. If the line ax + 2Y + 2 = 0 is parallel to the line 3x-y-2 = 0, find the distance between the two parallel lines
• 3. If the line ax-2y + 2 = 0 is parallel to the line x + (A-3) y + 1 = 0, then the real number J? Find the real number a?
• 4. Why is a = 2 a necessary and sufficient condition for "a line ax + 2Y = 0 parallel to a line x + y = 1"?
• 5. If the line ax + 2Y + 2 = 0 is parallel to the line 3x + ay + √ 6 = 0, what is the coefficient a
• 6. Given that line L1: ax-y + 2A = 0 and line L2: (2a-1) + ay + a = 0 are perpendicular to each other, find the value of A The solution should be detailed! Ha ha, thank you first
• 7. Let's know the line L1: y = - 1 / a times x + 2. L2: y = - ax + 1 + a (a is not equal to 0). If L1 is perpendicular to L2, find the value of A
• 8. The relation between the form of solution of AX = B and the rank of matrix A of non homogeneous linear equations? What I need to know is the form of the solution of the system of equations, such as k1x1 + k2x2 +... + knxn + y, x1, X2... Xn is the basic solution system, I can't determine the specific value of n~
• 9. Let a be mxn real matrix and ATA be positive definite matrix. It is proved that the linear equation AX = 0 has only zero solution No one can do it
• 10. The rank of coefficient matrix A of three variable non-homogeneous equations AX = B is 2, and the three solution vectors a, B, C satisfy a + B = (3.1. - 1) a + C = (2.0. - 2), and the general solution is obtained
• 11. If f (x) = AX3 + 3x2 + 2 and f ′ (- 1) = 4, then the value of real number a is equal to______ ．
• 12. The equation of a circle passing through point (8,1) and tangent to two coordinate axes
• 13. If the center of circle C is on the straight line 5x-3y = 8 and circle C is tangent to two coordinate axes, the equation of circle C is
• 14. "A = 3 or a = - 2" is the () condition that the line ax + 2Y + 3A = 0 and the line 3x + (A-1) y = A-7 are parallel and not coincident A. Sufficient and unnecessary B. necessary and not sufficient C. sufficient and necessary D. neither sufficient nor necessary
• 15. The curve C is a set of points whose product of the distances from two straight lines X + y = 0 and X-Y = 0 is 1. The trajectory equation of C is obtained
• 16. Solve the linear equation of point a (- 3,2) and the distance from the origin is 3
• 17. It is known that the eccentricity of ellipse C: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) is 1 / 2, the distance from the right focus to the straight line X / A + B / y = 1 d = √ 21 / 7, and O is the coordinate origin The equation of finding ellipse
• 18. It is known that the eccentricity e of the ellipse x 2A2 + y 2B2 = 1 (a > b > 0) is 63, and the distance between the straight line passing through points a (0, - b) and B (a, 0) and the origin is 32
• 19. The condition of X corresponding to the point on the number axis whose distance from the origin is less than 8 is? A - 8
• 20. The distance from point a (3, - 4) to the x-axis is -- the distance to the y-axis is -- the distance to the origin is-------